Cuboid walls

Calculate the volume of the cuboid if its different walls have area of 195cm², 135cm² and 117cm².

Result

V =  1755 cm3

Solution:

ab=195 bc=135 ca=117 195=3×5×13 135=33×5 117=32×13 a=13 cm b=3 5=15 cm c=3 3=9 cm V=a b c=13 15 9=1755 cm3ab=195 \ \\ bc=135 \ \\ ca=117 \ \\ 195=3 \times 5 \times 13 \ \\ 135=3^3 \times 5 \ \\ 117=3^2 \times 13 \ \\ a=13 \ \text{cm} \ \\ b=3 \cdot \ 5=15 \ \text{cm} \ \\ c=3 \cdot \ 3=9 \ \text{cm} \ \\ V=a \cdot \ b \cdot \ c=13 \cdot \ 15 \cdot \ 9=1755 \ \text{cm}^3



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