First, we need to find the area of the base of the rectangular pyramid, which is a rectangle with sides of 10 cm and 14 cm. The area of a rectangle is calculated by multiplying its length by its width, so the area of the base is 10 cm * 14 cm = 140 sq cm.
Now, let's calculate the lateral surface area of the pyramid. Since it is a rectangular pyramid, there are four congruent triangles on each face with base 10 cm and height 10.6 cm. The area of a triangle is calculated using the formula A = 1/2 * base * height, so the area of each triangle is 1/2 * 10 cm * 10.6 cm = 53 sq cm. Since there are four triangles, the total lateral surface area is 4 * 53 sq cm = 212 sq cm.
Therefore, the total surface area of the rectangular pyramid is the sum of the base area and the lateral surface area: 140 sq cm + 212 sq cm = 352 sq cm.
Therefore, the surface area of the rectangular pyramid is 352 square centimeters.
What is the surface area of the rectangular pyramid? (1 point)
sides showing 10 cm 14cm 12cm 10.6cm
1 answer
1 answer