Question

Which could be the dimensions of a rectangular prism whose surface area is less than 160 square feet? Select two

options.
x
8 feet by 4 feet by 3 feet
07 feet by 6 feet by 4 feet
3 feet by 7 feet by 8 feet
3 feet by 6 feet by 7 feet
3 feet by 5 feet by 7 feet

Answer 1

Answer: 96ft., 126ft., or 105ft

Explanation:

8ft×4ft×3ft=96ft

7ft×6ft×4ft=168ft

3ft×7ft×8ft=168ft

3ft×6ft×7ft=126ft

3ft×5ft×7ft=105ft

Answer 2

a,e

Explanation:

let length=l

width=w

height=h

surface area=2(l+w)×h+2×l×w

=2[lh+wh+lw]

2(8×4+4×3+8×3)=2(32+12+24)=2×68=136<160

2(7×6+6×4+7×4)=2(42+24+28)=2×94=188>160

2(3×7+7×8+3×8)=2(21+56+24)=2(101)=202>160

2(3×6+6×7+3×7)=2(18+42+21)=2(81)=162>160

2(3×5+5×7+3×7)=2(15+35+21)=2(71)=154<160