Question Type 3: Calculating the surface area of specific 3D shapes given the parameters Exercises

A right triangular prism has a right-angled triangular base with legs $3\text{ cm}$ and $4\text{ cm}$, and length $10\text{ cm}$. Find its total surface area.

A solid is made by placing a hemisphere of radius $5\text{ cm}$ on top of a cylinder of the same radius and height $12\text{ cm}$. Find the total external surface area, including the flat circular base of the cylinder, in terms of $\pi$.

A hollow cylindrical pipe has outer radius $10\text{ cm}$, inner radius $9\text{ cm}$, and length $20\text{ cm}$. Find the total surface area (outer curved surface, inner curved surface, and both annular ends) in terms of $\pi$.

A right circular cylinder has radius $5\text{ cm}$ and height $14\text{ cm}$. Find its total surface area in terms of $\pi$.

A sphere has radius $6\text{ cm}$. Find its surface area, expressing your answer in terms of $\pi$.

A rectangular prism has dimensions $12\text{ cm} \times 7\text{ cm} \times 4\text{ cm}$. Find its total surface area.

An open-top right circular cylinder (no lid) has radius $8\text{ cm}$ and height $20\text{ cm}$. Find its surface area in terms of $\pi$.

A sector of a circle with radius $15\text{ cm}$ and central angle $210^\circ$ is formed into a cone by joining the straight edges. Find the total surface area of the cone (curved surface plus base) in exact form.

A right circular cone has radius $9\text{ cm}$ and height $12\text{ cm}$. Find its total surface area in terms of $\pi$.

Find the total surface area of a solid hemisphere of radius $9\text{ m}$ (including its circular base). Give your answer in terms of $\pi$.

A right circular cone has radius $7\text{ cm}$ and slant height $13\text{ cm}$. Find its curved surface area in terms of $\pi$.

A regular hexagonal prism has base side length $6\text{ cm}$ and height $10\text{ cm}$. Find its total surface area, giving an exact value.