Surface Area and Volume of Rectangular Prisms

Front

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

Back

Surface Area = 2(lw + lh + wh), where l = length, w = width, h = height.

Front

What is the formula for calculating the volume of a rectangular prism?

Back

Volume = l × w × h, where l = length, w = width, h = height.

Front

If a rectangular prism has a length of 5 cm, width of 4 cm, and height of 3 cm, what is its surface area?

Back

Surface Area = 2(5*4 + 5*3 + 4*3) = 2(20 + 15 + 12) = 2(47) = 94 cm².

Front

If a rectangular prism has a length of 5 cm, width of 4 cm, and height of 3 cm, what is its volume?

Back

Volume = 5 × 4 × 3 = 60 cm³.

Front

What is the surface area of a rectangular prism with dimensions 10 cm (length), 5 cm (width), and 2 cm (height)?

Back

Surface Area = 2(10*5 + 10*2 + 5*2) = 2(50 + 20 + 10) = 2(80) = 160 cm².

Front

What is the volume of a rectangular prism with dimensions 10 cm (length), 5 cm (width), and 2 cm (height)?

Back

Volume = 10 × 5 × 2 = 100 cm³.

Front

How does increasing the height of a rectangular prism affect its volume?

Back

Increasing the height increases the volume, as volume is directly proportional to height.

Front

How does increasing the width of a rectangular prism affect its surface area?

Back

Increasing the width increases the surface area, as surface area depends on all three dimensions.

Front

What is the relationship between surface area and volume in rectangular prisms?

Back

Surface area measures the total area of the surfaces, while volume measures the space inside the prism; both depend on dimensions.

Front

If a rectangular prism has a surface area of 172 cm² and a height of 4 cm, how can you find the length and width?

Back

Use the surface area formula to set up equations and solve for length and width.