Question

Find the surface area of a rectangular pyramid with these measurements: l = 8 yd., w = 4 yd., and h = 2 yd.

Answer 1

Use the formula for the surface area of a square pyramid to find the surface area if the base edge length is 5 yards and the height is 25 yards. Round to the nearest whole number.

Answer 2

To find the surface area of a rectangular pyramid, we need to find the area of each face and add them together.

Start by finding the area of the base. The formula for the area of a rectangle is length times width, so the area of the base is 8 yd. * 4 yd. = 32 square yards.

Next, find the area of each triangular face. Since it's a rectangular pyramid, there are four triangular faces. The area of a triangle can be found using the formula 0.5 * base * height.

For the first triangular face:
Base = 8 yd. and Height = 2 yd.
Area = 0.5 * 8 yd. * 2 yd. = 8 square yards

For the second triangular face:
Base = 4 yd. and Height = 2 yd.
Area = 0.5 * 4 yd. * 2 yd. = 4 square yards

For the third triangular face:
Base = 8 yd. and Height = 2 yd.
Area = 0.5 * 8 yd. * 2 yd. = 8 square yards

For the fourth triangular face:
Base = 4 yd. and Height = 2 yd.
Area = 0.5 * 4 yd. * 2 yd. = 4 square yards

Now, add up the areas of all the faces:
32 square yards (base) + 8 square yards + 4 square yards + 8 square yards + 4 square yards = 56 square yards

So, the surface area of the rectangular pyramid is 56 square yards.