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Chapter 1: Q8. (page 32)

Find the surface area of each solid.

Short Answer

Expert verified

The surface area of the rectangular prism is 26 square feet.

Step by step solution

01

Step 1. State the formula.

The formula for surface area of a rectangular prism is S=lw+wh+hl, where S is the surface area, l is the length, w is the width and h is the height of the rectangular prism.

02

Step 2. List the given data.

It is clear, from the given figure, that the given solid is a rectangular prism of length 4 ft, width 2 ft and height 3ft.

Then, l=4ft, w=2ftandh=3ft

03

Step 3. Calculate the surface area.

Put l=4, w=2and h=3in S=lw+wh+hlto get,

S=42+23+34=8+6+12=26

So, S=26.

04

Step 4. Determine the unit.

Since the unit of length, width and height are all given as feet, the unit of the surface area must be square feet.

So, the surface area of the rectangular prism is 26 square feet.

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