Volume of cylinders
Volume of prisms
Volume of cones
Volume of pyramids
Volume of spheres
100
A can of soup has a radius of 3 cm and a height of 5 cm. What is the volume of the can of soup?
141.3 cm3
r2 x ๐ x h = volume
32 x 3.14 x 5 = 141.3
100
Bobby is buying a new fish tank for his fish. The tank is a rectangular prism with a height of 2 feet, width of 1 foot and a length of 4 feet. What is the volume?
8 ft3
h x w x l = volume
2 x 1 x 4 = 8
100
A traffic cone has a radius of 8 inches and is a foot tall. What is the volume?
803.84 in3
๐ (r2)(h)/3 = volume
๐ (64)(12)/3 = 803.84
100
One of the (square-based) pyramids of Giza has a height of 200 feet, a base length of 101 feet and a base width of 101 feet. What is the area of the pyramid?
134 ft3
b1 + b2 + h/3 = volume
101 + 101 + 200 =402
402/3 = 134
100
Sarah buying a ball at the store and wants to know the volume. The radius is 2 inches. What is the volume?
about 33.493 in3
(4/3)๐ r3 = volume
23 = 8
(4/3)(๐ )(8) = 33.493
200
A water bottle that is 11.5 inches tall and a diameter of 4.8 inches. What is the volume?
207.9936 in3
r2 x ๐ x h = volume
2.42 x ๐ x 11.5 = 207.9936
200
A tent (triangular prism) is 1.5 yds tall and has a base of 2 yds and a length of 3.4 yds. What is the volume of the tent?
5.1 yd3
L(bh x bb/2)
3.4(1.5 x 2/2) = 5.1 yd3
bh = base height L = length
bb = the base of the base triangle
200
A sandcastle is built on the beach. The castle is a really tall cone with a height of 2.75 ft tall and a radius of 1.8 ft. What is the volume of the sand? round to the nearest hundredth
9.33 ft3
๐ (r2)(h)/3 = volume
๐ (1.82)(2.75)/3 = 9.3258
200
The Louvre (the glass pyramid in France)(square-based) is about 22.8 meters tall and the base is 35.6 meters. What is the volume of the Louvre? round to nearest hundredth
282.43
b1 + b2 + h/3 = volume
35.6 + 35.6 + 22.8/3 = 282.426667
200
A gumball has a diameter of 23 millimeters. What is the volume of the gumball? round to the nearest thousandth
6367.397 mm3
(4/3)๐ r3 = volume
(4/3)๐ x 11.53 = 6367.387
300
A circular bucket is 2 feet tall and 0.75 feet for a radius. What is the volume in cubic feet? Use 3.14 for ๐ and round answer to nearest tenth.
3.5 ft3
๐ x r2 x h = volume
2 x (0.75)2 x 3.14= 3.5 ft3
300
A box of dog treats is a cube and its height is 7 inches tall. What is the volume of the box of treats in cubic feet? round to nearest thousandths
0.198 ft3
l x w x h = volume
7 x 7 x 7 = 343 12in x 12in x 12in = 1728
343/1728 = 0.19849537
300
An ice-cream cone is 5 inches tall and has a diameter of 4 centimeters. What is the volume in cubic inches? 1 in = 2.54 cm round to nearest hundredth
3.24 in3
๐ (r2)(h)/3 = volume 4/2 = 2 2cm = 0.787402 in
๐ (0.7874022)(5)/3 = 3.244676
300
A square-based pyramid rubrics cube is 4.73 inches tall and the base of the pyramid is 7 1/4 cm x 7 1/4 cm. What is the volume of the pyramid in cubic inches? round to nearest hundredth 1 in = 2.54 cm
7.01 in3
b1 + b2 + h/3 = volume 7 1/4 cm = 2.854331 in
2.854331 + 2.854331 + 4.73/3 = 7.008136973
300
A perfectly circular watermelon is has a radius of 13 inches. What is the volume of the watermelon in cubic feet? round to nearest hundredth 12 in = 1 ft
5.32 ft3
(4/3)๐ r3 = volume
(4/3)๐ (133) = 9198.11 in3
9198.11/1728 = 5.32 ft3
400
a big flower pot is 1.4 yards tall and a radius of 14 inches. What is the volume in cubic feet? (round to nearest hundredth) 12 in = 1 ft 3 ft = 1 yd
17.96 ft3
r2 x ๐ x h = volume
1.4 yd = 4.2 ft 14 in = 1.167 ft
1.1672 x ๐ x 4.2 = 17.960521
400
A Toblerone chocolate bar is 2.25 cm tall and is 4.8 inches long with a base of the triangle as 2.25 cm. What is the volume of half of the chocolate bar in cubic inches? round to nearest hundredth 1 in = 2.54 cm
0.95 in3
L(bh x bb/2) bh = base height L = length
bb = the base of the base triangle 2.25 cm = 0.89 in 4.8(0.89 x 0.89/2) = 1.90104
1.90104/2 = 0.95052
400
A party hat is 5.8 in tall and a diameter of 7 3/5 cm. What is the volume of the party hat in cubic cm? round to nearest hundredth 1 in = 2.54 cm
222.66 cm3
๐ (r2)(h)/3 = volume 5.8 in = 14.732 cm
๐ (3.82)(14.732)/3 = 222.657484
400
The roof of a house is a rectangular based pyramid and is 6.82 feet tall and 18.63 feet by 12.7 feet for the base. What is the volume of the roof in cubic yards? round to nearest hundredth 3 ft = 1 yd
0.47 yd3
b1 + b1 + h/3 = volume 3 ft x 3 ft x 3 ft = 27
18.63 + 12.7 + 6.82/3 = 12.716667
12.716667/27 = 0.4798765
400
An ornament for a Christmas tree has a diameter of 4.846 in what is the volume of a 4 pack of ornaments? round to nearest hundredth
238.23 in3
(4/3)๐ r3 = volume
(4/3)๐ (2.4233) = 59.55642593
59.55642593 x 4 = 238.2257037
500
Johnny got a six-pack of pop. The diameter of each can of pop is 1/4 foot and the hight of each can is 0.5 foot tall. What is the total volume of the six-pack? (round to nearest thousandth)
six cans =0.147 ft3
r2 x ๐ x h = volume of one can
6 (r2 x ๐ x h) = volume of six cans 1/4รท 2 = 1/8
6 (1/82 x ๐ x 1/2) = 0.147 ft3 0.5 = 1/2
500
A stack of 6 dice is 7.2 in tall and the base of the tower is 0.6 in x 0.6 in. What is the volume for one die in cubic centimeters? round to nearest hundredth 1 in = 2.54 cm
7.08 cm3
l x w x h = volume
0.6 in = 1.524cm 7.2 in = 18.288 cm
1.524 x 1.524 x 18.288 = 42.4752699
42.4752699/6 = 7.07921165
500
The tip of a pencil is 1.6 cm tall and a diameter of 2/3 cm. What would be the total volume of a dozen pencil tips? round to nearest thousandths
2.233 cm2
๐ (r2)(h)/3 = volume
๐ (1/32)(1.6)/3 = 0.18607407
0.18607407 x 12 = 2.23288884
500
An equilateral triangle-shaped pyramid caution sign is 2.5 feet tall and the base is 16.8 in tall and 16.8 in wide at the base of the triangle. What is the volume of 2 caution signs in cubic feet? round to nearest hundredth 12 in = 1 ft
1.63 ft3
A x h/3 = volume A = area of base
A = bh/2 0.98 = 1.4(1.4)/2 16.8 in = 1.4 ft
0.98 x 2.5/3 = 0.81666
0.81666 x 2 = 1.63333
500
If 50 moons can fit inside of the earth and the diameter of the earth is 3,963 miles. What is the volume of the moon in cubic miles? round to nearest million
650,000,000 mi3
(4/3)๐ r3 = volume
(4/3)๐ (1981.53) = 3.25724641ร1010
3.25724641ร1010/50 = 651,449,282.9