Prisms
Pyramids
Cylinder
Cone
Pythagorean Theorem
100
Find the volume of a cube with sides of 8 cm.
512cm3
100
Square pyramid with side lengths of 7 in. and height of 13 in. Find the volume to the nearest tenth.
1486.3in3
100
A cylinder has a radius of 21 inches and a height of 10 inches. Find the volume of the cylinder. Use 3.14 for pi.
13847.4 in3
100
A cone has a radius of 10 inches and a height of 12 inches. Find the volume of the cone. Use 3.14 for pi.
1256 in3
100
Given the three sides of a triangle, use Pythagorean’s Theorem to prove whether this triangle is a right triangle or not. Show your work!
a = 15 b = 20 c = 25
This is a right triangle because
152 = 225 and 202 = 400
and 225 + 400 = 625 which is the same as 252
200
Find the volume of a cube with side of 3 ft.
27 ft3
200
Find the volume of a triangular pyramid with base length of 8cm., base height of 12cm., and the height of the pyramid is 3cm.
48cm3
200
A cylinder has a radius of 1.4 meters and a height of 6 meters. Find the volume. Use 3.14 for pi.
36.93 m3
200
If the radius of a cone is 1mm and the height is 3mm then what is the volume? Use 3.14 for pi.
3.14 mm3
200
Find the missing side length if a = 12 in, b = ?, and c = 37 in. Round to the nearest tenth if necessary.
35 in.
300
Find the volume of a rectangular prism with sides 2.5 in., 8 in., and 5.25 in.
105 in3
300
Find the volume of a rectangular pyramid with a base length of 6 cm, base width of 3.5 cm, and height of 4 cm.
28 cm3
300
A cylinder has a diameter of 28 ft. and a height of 0.75 ft. Find the volume. Use 3.14 for pi.
461.58 ft3
300
What is the volume of a cone with a diameter of 4cm and height of 2.4cm? Use 3.14 for pi.
10.05 m3
300
Wreckless Rick needs to replace a window on his house that is 34 ft. high. For safety, he needs to place the base of the ladder 6 ft. from his house. How long does the ladder need to be? HINT: Draw a picture!
The ladder needs to be about 34.5 feet long.
400
Find the volume of a triangular prism with base length of 17 in., base height of 13 in., and prism height of 30.5 in.
3370.25in3
400
A pyramid with a square base has a volume of 400 cm3 and a height of 12 cm. Find the length of the side.
10 cm
400
A cylinder has a volume of 1318.8 cm3 and a radius of 10 cm. Find the height of the cylinder. Use 3.14 for pi.
4.2 cm
400
If the height of a cone is 1/3 ft. and the radius of the cone is 6 ft. What is the volume of the cone? Use 3.14 for pi.
12.56 ft3
400
A water slide has a landing point 30 ft away from the ladder that goes to the top. The slide starts 40 ft off the ground. How long is the ride down the slide? HINT: Draw a picture!
50 feet
500
Find the volume of this solid:
920 units3
500
Find the volume:
80 cm3
500
Find the volume of this cylinder. Use 3.14 for pi.
1648.5 feet 3
500
Find the volume of this cone.
Use 3.14 for pi.
About 340.2 m3
500
Given the three sides of a triangle, use the Pythagorean Theorem to prove whether this triangle is a right triangle or not. Show your work and explain your answer.
a = 7.1 b = 8.5 c = 11.1
7.12 = 50.41
8.52 = 72.25
11.12 = 123.21
No because a2 + b2 does not equal c2.