M L Aggarwal Solutions for Chapter: Mensuration, Exercise 3: Exercise

Find the height of a cuboid whose volume is $312 {\mathrm{cm}}^3$ and base area is $26 {\mathrm{cm}}^2$.

A godown is in the form of a cuboid of measures $55 \mathrm{m}\times 45 \mathrm{m}\times 30 \mathrm{m}$ How many cuboidal boxes can be stored in it if the volume of one box is $1.25 {\mathrm{m}}^3$?

A rectangular pit $1.4 \mathrm{m}$ long, $90 \mathrm{cm}$ broad and $70 \mathrm{cm}$ deep was dug and $1000$ bricks of base $21 \mathrm{cm}$ by $10.5 \mathrm{cm}$ were made from the earth dugout. Let the height of each brick be $k \mathrm{cm}$. Find the value of $k$.

A closed box is made of $2 \mathrm{cm}$ thick wood with external dimension $84 \mathrm{cm}\times 75 \mathrm{cm}\times 64 \mathrm{cm}$. If the volume of the wood required to make the box is $k {\mathrm{cm}}^3$, then find the value of $k$.

A wooden pole is $7 \mathrm{m}$ high and $20 \mathrm{cm}$ in diameter. If the wood weighs $225 \mathrm{kg}$ per ${\mathrm{m}}^3$ and the weight of the pole is $k \mathrm{kg}$, then find the value of $k$ in decimal form. Use $\mathrm{\pi }=\frac{22}{7}$