Set 70
- x= 2 feet.Plug the variables into the formula for the SA of a
prism: 304 sq. ft. = 2(12x(2x) + 2x(x) + 12x(x)). 304 sq. ft. = 2(24 x^2
+ 2x^2 + 12x^2 ). 304 sq. ft. = 2(38x^2 ). 304 sq. ft. = 76x^2. 4 sq. ft. = x^2.
2 feet = x.- x= 3 meters.Plug the variables into the formula for the SA of a
prism: 936 square meters = 2(4.5x(4x) + 4x(4x) + 4.5x(4x)). 936 sq.
meters = 2(18x^2 + 16x^2 + 18x^2 ). 936 sq. meters = 2(52x^2 ). 936 sq.
meters = 104x^2. 9 sq. meters = x^2. 3 meters = x. - x= 2 2 yards.To find the surface area of the figure, first find the
area of one cube face. A= (b)(h), so area of one face = (3x)(3x) =
9 x^2. There are 10 cube faces in total showing in this figure, so the
total surface area = (10)(9x^2 ) = 90x^2. Given that SA= 720, solve to
find x.
720 = 90x^2
8 = x^2
x= 2 2 yards501 Geometry Questions