Surface Area of Prisms and Cylinders

Practice flashcards for calculating the surface area of various three-dimensional figures including cubes, cylinders, and prisms based on Megan Wallen's 'Math With Meaning' lecture slides.

What is the surface area of a cube with side lengths of $7\,\text{in.}$?

$$294\,\text{sq in.}$$

Calculate the surface area of a triangular prism with base triangle side lengths of $3\,\text{cm}$, $4\,\text{cm}$, and $5\,\text{cm}$, and a prism height of $7\,\text{cm}$.

$$96\,\text{sq cm}$$

Tyler is making a paper label for a cylindrical can that has a diameter of $4\,\text{in.}$ and a height of $6\,\text{in.}$. Using $3.14$ for $\pi$, how many square inches of paper does he need for the label if there is no overlap?

$$75.36\,\text{sq in.}$$

What is the surface area of a rectangular prism with dimensions of $10\,\text{m}$, $4\,\text{m}$, and $4\,\text{m}$?

$$192\,\text{sq m}$$

Find the surface area of a triangular prism with base edges of $5\,\text{cm}$, $12\,\text{cm}$, and $13\,\text{cm}$, and a height of $7\,\text{cm}$.

$$270\,\text{sq cm}$$

Emily wants to wrap a cube-shaped box with side lengths of $1.2\,\text{ft.}$ in wrapping paper. How many square feet of paper does she need to cover the present with no overlap?

$$8.64\,\text{sq ft}$$

Find the surface area of a cylinder with a radius of $10\,\text{mm}$ and a height of $15\,\text{mm}$ using $3.14$ for $\pi$.

$$1570\,\text{sq mm}$$

Paul is frosting a cake shaped like a rectangular prism with a width of $8\,\text{in.}$, a length of $12\,\text{in.}$, and a height of $3\,\text{in.}$. How many square inches will be covered with frosting if the bottom of the cake is not frosted?

$$216\,\text{sq in.}$$

What is the surface area of a cube with side lengths of $8.5\,\text{m}$?

$$433.5\,\text{sq m}$$

Find the surface area of a rectangular prism with dimensions of $7\,\text{ft.}$, $9\,\text{ft.}$, and $2\,\text{ft.}$

$$190\,\text{sq ft}$$

Maddie is painting the walls of her bedroom blue. If the room is a rectangular prism with a floor measuring $24\,\text{ft.}$ by $10\,\text{ft.}$ and a height of $9\,\text{ft.}$, how many square feet will be painted?

$$612\,\text{sq ft}$$

According to the lesson transcript, what is the surface area of the prism defined by the dimensions $6\,\text{ft.}$, $4.5\,\text{ft.}$, $10\,\text{ft.}$, $8\,\text{ft.}$, and $5\,\text{ft.}$?

$$165\,\text{sq ft}$$

If a cube has a surface area of $54\,\text{mm}^2$, what is the length of one side of the cube ($y$)?

$$3\,\text{mm}$$

Find the surface area of a cylinder with a diameter of $12\,\text{yd.}$ and a height of $16\,\text{yd.}$ using $3.14$ for $\pi$.

$$828.96\,\text{sq yd}$$

Griffin is making a tent (triangular prism) with a base triangle height of $4\,\text{ft.}$, a base of $6\,\text{ft.}$, slant sides of $5\,\text{ft.}$, and a prism length of $6\,\text{ft.}$. How many square feet of fabric does he need?

$$120\,\text{sq ft}$$