Getting into Solids: Pyramids - ETA hand2mind

Name __________________________________________
8 in. 8 in.
9 in.
9 in.
10 in.
12 in.
GETTING INTO SOLIDS — PRISMS
Worksheet 14: Answer Key
Volume
Challenge
Find the surface area of the right solid. Describe
your process through a series of clearly shown
mathematical steps.
Step 1: I will find the volume of the square pyramid. You will need to reference the first book entitled,
Getting Into Solids — Pyramids.
First, I will find the area of Second, I will use the formula
the base, B.
for the volume of a regular pyramid.
B = S 2
V = 1 / 3 B h
B = 9 2 V = 1 / 3 (81)(10)
B = 81 V = 270
Step 2: I will find the volume of the square prism.
Note: Since the base of the Now I will find the volume of the
square pyramid is exactly square prism using the formula
the same as the base of the V = B h
square prism, the area of the V = 81 (12)
bases will be the same. V = 972
Therefore, B = 81
Step 3: I will now add the volume of the square pyramid to the volume of the rectangular prism to
find the total volume.
V = 270 + 972
V = 1,242 in. 3 V = 1,242 in. 3
Solution: ______________________________
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