Question

Use the image to answer the question.

A rectangle has 4 triangles connected to it. One triangle is attached to each side of the rectangle. The rectangle is labeled base. The triangle on the top is labeled face 1. The triangle on the right is labeled face 2. The triangle on the bottom is labeled face 1. The triangle on the left is labeled face 2.

Use the net to derive the a formula for the surface area (SA) of the rectangular pyramid.

(Use the variable Abase
for the area of the base, Aface 1
for the area of face 1, and Aface 2
for the area of face 2.)

(1 point)

SA=2×Aface 1+2×Aface 2


SA=Abase+Aface 1+Aface 2


SA=2×Abase+2×Aface 1+2×Aface 2


SA=Abase+2×Aface 1+2×Aface 2

Answer 1

Surface area = area of the base plus the areas of the four triangular faces. There are two face1 and two face2 triangles, so

SA = Abase + 2×Aface1 + 2×Aface2.