Question

6. This solid is a composite of a cube and square pyramid. The base of the solid is the base of the cube. Find the surface area for the solid​

Answer 1

Answer:

960 ft^2

Step-by-step explanation:

There are 9 surfaces forming the solid.

5 of them are congruent squares and 4 of them are congruent triangles.

area of square = (side)^2

area of triangle = (base)(height)/2

total surface area = 5 * area of square + 4 * area of triangle

A = 5 * (12 ft)^2 + 4 * (12 ft * 10 ft)/2

A = 5 * 144 ft^2 + 4 * 60 ft^2

A = 720 ft^2 + 240 ft^2

A = 960 ft^2

Answer 2

This solid is a composite of a cube and square pyramid. the total surface area of the solid is 960 ft^2.

What is the area of a square?

The area of a square can be calculated as the square of the sides of a given figure.

The area of square = (side)^2

We know that

The area of triangle = (base)(height)/2

So,

The total surface area = 5 x area of square + 4 x area of a triangle

A = 5 x (12 ft)^2 + 4 x (12 ft x 10 ft)/2

A = 5 x 144 ft^2 + 4 x 60 ft^2

A = 720 ft^2 + 240 ft^2

A = 960 ft^2

Thus, The total surface area of the solid is 960 ft^2.

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