Question

A solid is composed of squares and equilateral triangles. It’s net is shown below:

The area of each triangle is 4 square units. The surface area of the triangular prism is __ square units. (Input whole number only)

PLEASE ANSWER QUICKLY!

Answer 1

The surface area of the triangular prism is 35 square units

Explanation:

It is given that,A solid is composed of squares and equilateral triangles

The area of each triangle is 4 square units

To find the surface area of solid

From the figure we get,

Surface area = Area of 2 triangle + area of 3 squares

There are 2 triangles with area = 4 square units

Area of 2 triangle = 2 * 4 = 8 square units

There are 3 squares with side = 3 units

Area of 1 square = 3 * 3 = 9 square units

Area of 3 squares = 3 * 9 = 27 square units

Surface area = 8 + 27 = 35 square units

The surface area of the triangular prism is 35 square units

Answer 2

35 square units

Explanation:

The surface area of the given solid will be the sum of areas of all of its sides. From the given figure we can see that the sides(faces) of the solid are:

• 2 Equilateral Triangles
• 3 Squares

The Area of each triangle is 4 square units. So we need to calculate the area of the squares.

Side length of square = 3 units

Area of square = Length² = 3² = 9

Surface Area of Given Solid = Area of 2 Triangles + Area of 3 Squares

= 2(4) + 3(9)

= 8 + 27

= 35 square units

Surface Area of Given Solid = 35 square units