Question

1. Find the surface area of the square pyramid shown below?

2. Find the surface area of the cube shown below?

Answer 1

40

Explanation:

I got it correct on KHAN

Answer 2

1. 40.00 sq units

2. 37.5 sq units

Explanation:

1. Given slant height as 3 and the square base side as 4,

-The surface area of a right squared pyramid is calculated by summing the areas of the 4 triangles and the square base:

`Area=Area \ Triangles+Base \ Area\\\\=4((1)/(2)bh)+s^2\\\\=4(0.5* 4* 3)+4^2\\\\=24+16\\\\=40`

Hence, the area of the square pyramid is 40.00 sq units

2. The surface area of a cube is equivalent to 6 times the side of one face.

-Given the dimension of the sides as 2.5, surface area is obtained as:

`A=6s^2\\\\=6(2.5*2.5)\\\\=37.5`

Hence, the surface area of the cube is 37.5 sq units