Question

asked Jun 16, 2022 52.6k views

1 Answer

Maryrose · Answer 1 · 2022-06-22T12:53:50+0000

Answer:

The volume of prism A is the same as the volume of prism B.

Explanation:

Given

See attachment for prisms

Required

Compare the volume of both

First, we calculate the volume of both prisms.

Prism A is a rectangular prism.

So, its volume is:

V_A = Length * Base * Height

Where

$Length \to a$

$Base \to b$

$Height \to h$

So:

V_A = abh

For Prism B, we have:

$Volume = Base\ Area * Height$

Where

$Base\ Area = Length * Base$

and

Length = a

Base = b

So:

$Base\ Area = a * b$

$Base\ Area = a b$

The volume is then calculated as:

$Volume = Base\ Area * Height$

V_B = ab * Height

Where

$Height \to h$

So:

V_B = ab * h

V_B = abh

By comparison:

V_A = V_B = abh

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