Volume Prisms
Volume Pyramids
Surface Area Prisms & Pyramids
Volume & Surface Area
Word Problems
100
What is the volume of this rectangular prism?
30 u3
100
5390 ft cubed
100
Find the surface area of this rectangular prism
366 in2
100
What is the difference between volume and surface area?
Volume is what goes on the inside, surface area is what is on the outside.
100
Scott builds wooden boxes shaped like rectangular prisms. He covers each side of each box with wallpaper. If he makes 8 of these boxes, how many square feet of wallpaper will he need?
188 square feet x 8 =
1504 square feet
200
What is the volume of this triangular prism?
1072.5 ft3
200
5796 in cubed
200
Find the surface area of this triangular prism
168 cm2
200
Find the volume and surface area of this rectangular prism
Surface Area: 696 in2
Volume: 1080 in3
200
A company makes wax candles shaped like rectangular prisms. Each candle is 5cm long, 4cm wide, and 15cm tall. If the company used 5100 cubic cm of wax, how many candles did they make?
5 x 4 x 15 = 300
5100 / 300 =
17 candles
300
The base of a hexagonal prism has an area of 48 square inches. The height of the prism is 4 inches. Find the volume of the prism.
48 x 4 = 192 in3
300
Find the volume of this hexagonal pyramid
7 x 6 x 5.5 ÷ 2 = 115.5 (this is the area of the base)
115.5 x 10 = 1155
1155 ÷ 3 = 385 cm3
300
Find the surface area of this pyramid
96 ft2
300
Find the volume & surface area of this triangular prism
Volume: 28 x 14 x 21 = 8232 ÷ 2 = 4116 cm3
Surface area: 1764 cm2
300
A factory makes aquariums in the shape of a triangular prism, as shown below. If the factory made aquariums that require a total of 11,700 cubic feet of water, how many aquariums did the factory make?
3 * 4 * 5 =60
60/2 = 30
11700/30 = 390
400
Find the volume of this hexagonal prism
6495 ft3
400
The base of a hexagonal pyramid has an area of 36 square inches. The height of the pyramid is 2 inches. Find the volume of the pyramid.
36 x 2 = 72
72 ÷ 3 = 24 in3
400
Find the surface area of this hexagonal pyramid
325.5 cm2
400
Find the volume and surface area of this pentagonal prism
Volume: 5 x 4 x 2.75 ÷ 2 = 27.5 (this is the area of the base)
27.5 x 3 = 82.5 ft3
Surface area: 27.5 + 27.5 + 12 + 12 + 12 + 12 + 12 = 115 ft2
400
A construction company is laying cement for stairs. What is the volume of cement needed?
285 cubic yards
500
The base of a triangular prism is a right triangle with a base of 10 inches and a height of 24 inches. The height of the prism is 30 inches. Find the volume of the prism.
10 x 24 ÷ 2 = 120 (this is the area of the base)
120 x 30 = 3600 in3
500
The pyramid at the Louvre in Paris, France has a square base with a length of 35 meters and is 22 meters tall. What is the volume of the pyramid?
35 x 35 = 1225 (this is the area of the base)
1225 x 22 = 26950
26950 ÷ 3 = 8983.33333 or 8983 or 8984 m3
500
Bob McBobby said the surface area of this prism was 126 square miles. What was his mistake and what is the correct answer for surface area?
Bob McBobby found the volume, not the surface area. Surface area is 162 mi2
500
Bob McBobby said the surface area of this pyramid was
10 x 7 x 8 ÷ 3 = 186.66666666. What was his mistake?
He found the volume instead of the surface area.
500
A horizontal slice is made into a triangular pyramid. What is the 2-D cross section from this slice?
Triangle