Surface Areas and Volumes

The total surface area of a cube with side $a$ is given by the formula:

A cuboid has length $10\text{ cm}$, breadth $1\text{ cm}$, and height $10\text{ cm}$. Its total surface area is:

If the side of a cube is $1\text{ cm}$, what is its lateral surface area?

The circumference of the base of a cylinder is $44 \text{ cm}$ and its height is $10 \text{ cm}$. What is its curved surface area?

Find the curved surface area of a cylinder with radius $1 \text{ cm}$ and height $1 \text{ cm}$ in terms of $\pi$.

The total surface area of a cylinder with radius $r$ and height $h$ is $2\pi r(r + h)$. If $h = 0$, the formula becomes:

If the slant height of a cone is tripled and the radius is halved, the new curved surface area is how many times the original?

A cone has a radius of $4 \text{ cm}$ and a slant height of $5 \text{ cm}$. Find its total surface area in terms of $\pi$.

Find the curved surface area of a cone with diameter $14 \text{ m}$ and slant height $25 \text{ m}$.

The total surface area of a hemisphere is $18.48 \text{ cm}^2$. Its radius is:

The diameter of a hemispherical bowl is $1.4 \text{ cm}$. Find its inner curved surface area.

Calculate the curved surface area of a hemisphere with radius $4.2 \text{ cm}$.

Find the volume of a cuboid whose sides are $4 \text{ cm}$, $3 \text{ cm}$, and $2 \text{ cm}$.

How many litres of water can a $1 \text{ m}^3$ tank hold? (Given $1 \text{ m}^3 = 1000 \text{ litres}$)

Find the volume of a cube of side $40 \text{ cm}$.

If the base area of a cylinder is $15\text{ cm}^2$ and the height is $6\text{ cm}$, what is its volume?

Find the volume of a cylinder with radius $4\text{ cm}$ and height $14\text{ cm}$. (Use $\pi = \frac{22}{7}$)

The diameter of a cylinder is $14\text{ cm}$ and its height is $20\text{ cm}$. Find the volume. (Use $\pi = \frac{22}{7}$)

A right circular cone has a base diameter of $14 \text{ cm}$ and a height of $15 \text{ cm}$. Find its volume. (Use $\pi = \frac{22}{7}$)

Find the volume of a cone with radius $0.5 \text{ cm}$ and height $12 \text{ cm}$ in terms of $\pi$.

The volume of a cone is $308 \text{ cm}^3$ and its radius is $7 \text{ cm}$. Find its height. (Use $\pi = \frac{22}{7}$)

A sphere has a radius of $4.5$ cm. Find its volume in terms of $\pi$.

What is the volume of a hemisphere of radius $7$ cm? (Take $\pi = \frac{22}{7}$)

Calculate the volume of a hemisphere with a radius of $5$ cm. (Take $\pi = 3.14$)