Karen Morrison and Nick Hamshaw Solutions for Exercise 6: Exercise 7.6

Find the volume and surface area of the cuboid with the given dimensions.

length $=5 \mathrm{cm}$, breadth $=8 \mathrm{cm}$, height $=18 \mathrm{cm}$

The diagram shows a tube containing chocolate sweets. Calculate the total surface area of the tube.

The diagram shows the solid glass case for a clock. The case is a cuboid with a cylinder removed $($ to fit the clock mechanism $)$. Calculate the volume of glass required to make the clock case.

A storage company has a rectangular storage area $20 \mathrm{m}$ long, $8 \mathrm{m}$ wide and $2.8 \mathrm{m}$ high. Find the volume of the storage area.

A storage company has a rectangular storage area $20 \mathrm{m}$ long, $8 \mathrm{m}$ wide and $2.8 \mathrm{m}$ high. How many cardboard boxes of dimensions $1 \mathrm{m}\times 0.5 \mathrm{m}\times 2.8 \mathrm{m}$ can fit into this storage area.

A storage company has a rectangular storage area $20 \mathrm{m}$ long, $8 \mathrm{m}$ wide and $2.8 \mathrm{m}$ high. What is the surface area of each cardboard box with dimensions $1 \mathrm{m}\times 0.5 \mathrm{m}\times 2.8 \mathrm{m}$ can fit into this storage area.

Vuyo is moving to brazil for his new job. He has hired a shipping container of dimensions $3 \mathrm{m}\times 4 \mathrm{m}\times 4 \mathrm{m}$ to move his belongings. Calculate the volume of the container.

Vuyo is moving to brazil for his new job. He has hired a shipping container of dimensions $3 \mathrm{m}\times 4 \mathrm{m}\times 4 \mathrm{m}$ to move his belongings. He is provided with crates to fit the dimensions of the container. He needs to move eight of these crates, each with a volume of $5 {\mathrm{m}}^3$. Will they fit into one container?