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Chapter 1: Q7. (page 32)

Find the surface area of each solid.

Short Answer

Expert verified

The surface area of the rectangular prism is 24 square meters.

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 2m, width 2m and height 5m.

Then, l=2m, w=2mandh=5m

03

Step 3. Calculate the surface area.

Put l=2, w=2and role="math" localid="1642577929819" h=5in S=lw+wh+hlto get,

S=22+25+52=4+10+10=24

So, S=24.

04

Step 4. Determine the unit.

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

So, the surface area of the rectangular prism is 24 square meters.

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