Find the Volume and the Surface Area of the Rectangular Pyramid.
Length: 6 in.
Width: 6 in.
Height: 13 in.
Slant Height: 13.3 in.
Show all work.
(This is 10th grade math, please don't make it advanced.)
Volume = (1/3) × base area × height
Base area = length × width = 6 × 6 = 36 sq in
Volume = (1/3) × 36 sq in × 13 in = 156 cu in
Surface area = area of all faces
There are 4 triangular faces and 1 rectangular face.
Area of rectangular face = length × width = 6 × 6 = 36 sq in
Area of each triangular face = (1/2) × base × height
Base = width = 6 in
Height = slant height = 13.3 in
Area of each triangular face = (1/2) × 6 in × 13.3 in = 39.9 sq in
Surface area = (4 × 39.9 sq in) + 36 sq in = 174.6 sq in