Question

Find the surface area of the pyramid shown below. The base is a rectangle and the opposite

triangular faces are the same size and shape.

Answer 1

SA = 397

Explanation:

The area of the rectangle is L x W = 18 x 7 = 126

The area of the triangle
`(1)/(3)` face is

A =
`(1)/(2)`bh

A =
`(1)/(2)` 18 x 10

A =
`(1)/(2)` 180

A = 90

Since there are two triangles the same size we times by 2

90 x 2 = 180

The triangles on the left and right sides are two other sizes compared to the other two triangles

A =
`(1)/(2)`bh

A =
`(1)/(2)` 7 x 13

A =
`(1)/(2)` 91

A = 45.5

Since there are two triangles the same size we times by 2 again so it will be 91

Than we add them up

91 + 126 + 180 = 397‬

Sorry if its wrong