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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

Exit 8 8 MathXL for School Practice Problem Solving x 8 8 PS 14 E Question Help A box has the shape of a rectangular

Answer :

Answer:

47.16 Square centimeters

Step-by-step 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 [tex]=1950.4 cm^2[/tex]

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 [tex]=1997.56 cm^2[/tex]

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

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