Question

20 points! Identify the solids that form the compos

Answer 1

The composite shape is made up of a cube with a side length of 5 inches and a cylinder with a radius of 2 inches and a height of 4 inches.

The composite solid's surface area is 225.4 square inches.

Step-by-step explanation:

Step 1:

The given composite shape is made up of a cube with a side length of 5 inches and a cylinder with a radius of 2 inches and a height of 4 inches.

The surface area of the composite shape is given by summing the individual surface areas.

The composite shape's surface area = The cube's surface area + the cylinder's surface area.

Step 2:

Any cube's surface area is calculated by multiplying 6 with the square of the side length ($a^2$).

The cube's surface area = $6a^2$ = $6(5^{2} )$ = $150$ square inches.

Step 3:

Any cylinder's surface area is calculated with the following formula;

The cylinder's surface area = $2 \pi r h+2 \pi r^{2}$ = $2 \pi (2) (4)+2 \pi (2)^{2}$ = $75.398$ square inches

Step 4:

The composite shape's surface area = The cube's surface area + the cylinder's surface area.

The composite shape's surface area = 150 + 75.398 = 225.398 square inches. Rounding this off, we get the area as 225.4 square inches.