Search problems

4 problems match “volume of cuboid”. Clear

Visitors search a sample. Sign in for free to search every problem. Sign in

1. Tin can versus cylinder capacity ●○○○○ 10 ptsA tin can has a rectangular base of length $5\ \mathrm{cm}$ and width $4\ \mathrm{cm}$, and height $15\ \mathrm{cm}$. A plastic cylinder has a circular base of diameter $7\ \mathrm{cm}$ and height $10\ \mathrm{cm}$. Use $\pi \approx \frac{22}{7}$. By how many $\mathrm{cm}^3$ is the capacity of the plastic cylinder greater than the capacity of the tin can?
2. Persons accommodated in a hall ●○○○○ 10 ptsA hall is 16 m long, 14 m wide and 5 m high. Calculate the number of persons that can be accommodated in the hall, assuming $3.5\ \text{m}^3$ of air is required for each person.
3. Extra capacity of a plastic cylinder ●○○○○ 10 ptsA tin can has a rectangular base of length 5 cm and width 4 cm, and height 15 cm. A plastic cylinder has a circular base of diameter 7 cm and height 10 cm. By how many cm³ is the capacity of the larger container greater than that of the smaller one? Use $\pi \approx \frac{22}{7}$.
4. Longest edge of a rectangular block ●●●○○ 50 ptsThe lengths of three unequal edges of a rectangular solid block are in geometric progression. The volume of the block is $216\ \text{cm}^3$ and its total surface area is $252\ \text{cm}^2$. Find the length of the longest edge, in cm.