Question

Write an expression for the total volume of the building. 12 ft 32 ft 24 ft 16 ft 40 ft 12 ft (12 X 24 X 40) + (32 X 12 X 16) O (8 X 12 X 24) + (32 X 12 X 16) (32 X 40 X 16) + (12 X 24 X 40)

Answer 1

1) Let's "detach" each part of that building made of 2 rectangular prisms.

The horizontal one

l=32, w=12, h= 16

2) So we can write for the horizontal prism:

$V_1=32\times12\times16\Rightarrow V_1=6144ft^3$

And for the Vertical one:

w=12, h=32, l=12

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