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8-8: MathXL for School: Practice & Problem Solving
(x) 8.8.PS-14
E Question Help
A box has the shape of a rectangular prism with height 32 cm. If the
height is increased by 0.9 cm, by how much does the surface area of the
box increase?
32 cm
Use pencil and paper. Show your work. Then show a second way to
19 cm
7.2 cm

Answer 1

47.16 Square centimeters

Explanation:

Width=7.2cm

Length =19cm

Height =32cm

Surface Area=2(LW+LH+WH)

=2(19*7.2+19*32+7.2*32)

Surface Area
`=1950.4 cm^2`

When the height is increased by 0.9cm

Height =32.9cm

Surface Area=2(LW+LH+WH)

=2(19*7.2+19*32.9+7.2*32.9)

Surface Area
`=1997.56 cm^2`

Difference in Surface Area=1997.56-1950.4

=47.16 Square centimeters

An alternative way is to calculate the surface area dealing with the height only using the height difference,

Difference=2(LH+WH)

=2(19*0.9+7.2*0.9)

=47.16 Square centimeters