Question

find the volume of wood used to make a closed box of outer dimensions 60cm*45cm*32cm, the thickness of wood being 2.5 cm all around
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Answer 1

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Answer 2

Step-by-step explanation:

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$outer \: dimensions \: 60 \times 45 \times 32 \\ \\ thickness \: of \: wood = 2.5cm \\ \\ l = 60 - 2(2.5) = 55cm \\ \\ b = 45 - 2(2.5) = 45cm \\ \\ h = 32 - 2(2.5) = 27cm \\ \\ the \: capacity \: of \: the \: box = l \times b \times h = \\ \\ (55 \times 40 \times 27) {cm}^{3} \\ \\ = 59400 {cm}^{3} \\ \\ total \: volume \: of \: box = l \times b \times h \\ \\ (60 \times 45 \times 32) {cm}^{3} \\ \\ = 86400 {cm}^{3} \\ \\ volume \: of \: wood \: used \: = total \: volume - actual \: capacity \\ \\ = 86400 - 59400 \\ \\ = 27000 {cm}^{3}$

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