Question 59

The side of a cube is 15 cm. Whatis the base area of a cuboid whose volumeis 175 cm$$^3$$ less than that of the cube and whose height is 32 cm?

Solution

vol of cube - 175 =vol of cuboid

side of cube = 15 cm

vol of cube = $$side^3$$

= 3375$$cm^3$$

so

vol of cuboid = 3375-175

= 3200$$cm^3$$

voi of cuboid = $$l\times b\times h$$

3200 =$$l\times b\times 32$$

$$l\times b$$ = 100 $$cm^2$$ = base area

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