Volume Prisms
Surface Area Prisms
Word Problems
Vocab
100
How do you find the volume of a Prism?
You find the area of the base. Then multiply by the height of the prism.
100
Find the surface area of this rectangular prism
366 in2
100
A horizontal slice is made into a triangular pyramid. What is the 2-D cross section from this slice?
Triangle
100
Faces
Closed, flat surface surrounded by vertices and edges.
200
Find the volume of this rectangular prism.
Rectangle Base: 4m x 5m
Height: 10m
200 m3
200
Find the surface area of this triangular prism
168 cm2
200
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
Volume
The amount of "space" a shape takes up. Expressed as 1 unit cubed that "fit" in the solid.
300
What is the volume of this rectangular prism?
30 u3
300
Find the surface area of this prism
624 cm2
300
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
Vertex
Corners of angles or shapes
400
What is the volume of this triangular prism?
1072.5 ft3
400
Find the surface area of a triangular prism with base = 12, triangle height = 4, triangle side 1= 3, triangle side 2 = 6, length = 9mm
237 mm2
400
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) /2 = 6 area of triangle base
6 * 5 = 30 volume of triangular prism
11,700/30 = 390 # of aquariums
400
Cross Section
2D shape formed by the intersection (slice) of a 3D solid shape
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 รท 2 = 120 (this is the area of the base)
120 x 30 = 3600 in3
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
A construction company is laying cement for stairs. What is the volume of cement needed?
285 cubic yards
500
Prism
3D shape that has 2 parallel bases that are connected by rectangular faces.