- Surface area= 26.5 square meters.The surface area of a cube is
the area of one face multiplied by the number of faces, or SA = 6bh.
SA = 6(2.1 meters)^2. SA = 6(4.41 square meters).
SA = 26.46 square meters. - Volume= 9.3 cubic meters.The volume of a cube is its length
multiplied by its width multiplied by its height, or V= e^2 (e
represents one edge of a cube). V= 2.1 meters ×2.1 meters ×2.1
meters. V= 9.261 cubic meters.
Set 75
- Length= 18 inches; width= 9 inches.Plug the given variables
and perimeter into the formula p= l+ w+ l+ w. 54 in. = 2x+ x+
2 x+ x. 54 in. = 6x. 9 inches = x. - Height= 5 inches.By now, you remember the formula for a
rectangular prism: V= lwh. You solved for land w in question 349
and the volume is given. Backsolve by plugging those numbers into
the formula to solve for h.
810 in^3 = (18)(9)(h)
810 in^3 = (162 in^2 )(h)
5 inches = h- Surface area= 594 square inches.As we learned in chapter 14, the
surface area of a prism is a sum of areas, or SA = 2(lw+ wh+ lh).
Plug the measurements you found in the previous questions into
this formula. SA = 2(18 in. ×9 in.) + (9 in. ×5 in.) + (18 in. ×5 in.).
SA = 2(162 sq. in. + 45 sq. in. + 90 sq. in.). SA = 2(297 sq. in.).
SA = 594 square inches.
501 Geometry Questions