Surface Area Unit Test 12 of 1512 of 15 Items Question Use the image to answer the question. What is the surface area of the rectangular pyramid? (1 point) cm2
In order to determine the surface area of the rectangular pyramid, we need to find the area of each individual face and then add them together.
First, let's determine the base area of the pyramid. Since it is a rectangle, we can use the formula for the area of a rectangle which is length x width.
Base area = 6 cm x 8 cm = 48 cm2
Next, let's find the area of each triangular face. Since it is a rectangular pyramid, there are 4 triangular faces that are congruent to each other. The formula for the area of a triangle is 1/2 base x height.
Height of the pyramid = 4 cm
Area of each triangular face = 1/2 x 6 cm x 4 cm = 12 cm2
Now, we have the base area and the area of each triangular face.
Surface area = 4(12 cm2) + 48 cm2 = 48 cm2 + 48 cm2 = 96 cm2
Therefore, the surface area of the rectangular pyramid is 96 cm2.