Getting into Solids: Pyramids - ETA hand2mind

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32 in.
GETTING INTO SOLIDS — PRISMS
Worksheet 18: Answer Key
Volume
Challenge
Find the volume of the rectangular prism with a
cylindrical hole through the prism. The diameter of the
cylinder is 10 inches. Describe your process through a
series of clearly shown mathematical steps.
25 in.
29 in.
Step 1: I will find the volume of the rectangular prism.
First, I will find the area Second, I will find the volume
of the base, B.
of the rectangular prism.
B = l w
V = B h
B = 25(29) V = 725 (32)
B = 725 V = 23,200
Step 2: I will find the volume of the cylinder with a diameter of 10.
First, I will find the radius Second, I will find the volume
of the circle, r.
of the right cylinder.
d = 2 r
V = π r 2 h
10 = 2 r V = π (5) 2 (32)
5 = r V = 800 π (or 2,513.274)
Step 3: I will subtract the volume of the right cylinder from the volume of the rectangular prism.
V = Volume of rectangular prism - volume of the right cylinder
V = 23,200 - 800 π in. 3
V = 20,686.726 in. 3
V = 20,686.726 in. 3
Solution: ______________________________
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