Surface Area of Prisms

Front

What is the formula for calculating the surface area of a rectangular prism?

Back

The surface area (SA) of a rectangular prism is calculated using the formula: SA = 2(lw + lh + wh), where l is the length, w is the width, and h is the height.

Tags

CCSS.7.G.B.6

Front

What is the surface area of a cube with a side length of 5 cm?

Back

The surface area of a cube is calculated using the formula: SA = 6s², where s is the side length. For a side length of 5 cm, SA = 6(5 cm)² = 150 cm².

Tags

CCSS.6.G.A.4

Front

How do you find the surface area of a triangular prism?

Back

To find the surface area of a triangular prism, use the formula: SA = bh + (perimeter of base * height), where b is the base area and h is the height of the prism.

Tags

CCSS.7.G.B.6

Front

What is the total number of faces on a prism?

Back

A prism has two identical bases and additional rectangular faces connecting the bases. The total number of faces is equal to the number of sides on the base plus two.

Tags

CCSS.7.G.B.6

Front

What is the surface area of a cylinder?

Back

The surface area (SA) of a cylinder is calculated using the formula: SA = 2πr(h + r), where r is the radius and h is the height.

Front

What is the relationship between the surface area and volume of a prism?

Back

The surface area measures the total area of the prism's faces, while the volume measures the space inside the prism. They are related but calculated using different formulas.

Front

How do you calculate the surface area of a pentagonal prism?

Back

To calculate the surface area of a pentagonal prism, use the formula: SA = (perimeter of base * height) + (5 * area of base), where the base is a pentagon.

Tags

CCSS.7.G.B.6

Front

What is the surface area of a prism with a base area of 20 cm² and a height of 10 cm?

Back

The surface area of the prism can be calculated using the formula: SA = 2 * base area + (perimeter of base * height). If the perimeter is known, substitute the values to find SA.

Tags

CCSS.7.G.B.6

Front

What is the significance of including unseen faces when calculating surface area?

Back

Including unseen faces ensures that the total surface area accurately reflects all surfaces of the prism, which is essential for precise calculations.

Tags

CCSS.7.G.B.6

Front

What units are used when measuring surface area?

Back

Surface area is measured in square units, such as cm², m², or in², depending on the unit of measurement used for the dimensions.