2 Answers

Kevin Cloet · Answer 1 · 2021-08-06T23:48:51+0000

Answer:

1042 square inches is the total surface area of composite solid.

Explanation:

It is clear from the image that the resulting composite solid is a cuboid.

whose sides are as follows:

Across the length there are 3 blocks along the side of 7 inches each.

Length =
$7 * 3 = 21\ inch$

Width = 5 inch

Across the height there are 4 blocks along the side of 4 inches each.

Height =
$4 * 4 = 16\ inch$

We know that total surface area of a cuboid is as follows:

$\text{Total Surface Area = } 2 (l* w+ w * h+ h * l)$

$\Rightarrow 2 (21 * 5 + 16 * 21 + 16 * 5 )\\\Rightarrow 2 (105 + 336+80)\\\Rightarrow 2 * 521\\\Rightarrow 1024$

Hence, total surface area = 1024 square inches

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