Respuesta :

#1

  • L=9
  • B=15
  • H=8

TSA

  • 2(LB+BH+LH)
  • 2(9×15+15×8+8×9)
  • 2(135+120+72)
  • 327(2)
  • 654ft²

Volume

  • LBH
  • 15(8)(9)
  • 1080ft³

#2

  • Surface area

#3

  • Volume

Answer:

Part (a)

Surface area of a rectangular prism = 2(LW + WH + LH)

Volume of a rectangular prism = L × W × H

where:

  • W = width (of base)
  • L = length (of base)
  • H = height

Given:

  • W = 8 ft
  • L = 15 ft
  • H = 9 ft

Surface area = 2(15 × 8 + 8 × 9 + 15 × 9)

                     = 2(120 + 72 + 135)

                     = 2(327)

                     = 654 ft²

Volume = 15 × 8 × 9

             = 120 × 9

             = 1080 ft³

Part (b)

Surface Area will help the shed maker know how much metal is needed.

Part (c)

Volume can be used to find out how much the shed holds.