Volume and Surface Area Rectangular Prisms

Front

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

Back

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

Front

What is the difference between square units and cubic units?

Back

Square units measure area (2D), while cubic units measure volume (3D).

Front

If a rectangular prism has a length of 4 cm, width of 3 cm, and height of 2 cm, what is its volume?

Back

Volume = 4 cm × 3 cm × 2 cm = 24 cubic cm.

Front

How do you calculate the height of a prism if you know the volume, length, and width?

Back

Height = Volume / (Length × Width).

Front

What is the surface area of a rectangular prism with dimensions 5 cm (length), 3 cm (width), and 2 cm (height)?

Back

Surface Area = 2(5*3 + 5*2 + 3*2) = 62 cm².

Front

What is the volume of a cube with a side length of 10 cm?

Back

Volume = side³ = 10 cm × 10 cm × 10 cm = 1000 cubic cm.

Front

What is the surface area of a cube with a side length of 4 cm?

Back

Surface Area = 6 × (side²) = 6 × (4 cm × 4 cm) = 96 cm².

Front

If the dimensions of a rectangular prism are doubled, how does the volume change?

Back

The volume increases by a factor of 8 (2³) because volume is a three-dimensional measure.

Front

What is the surface area of a rectangular brick with length 5 cm, width 9 cm, and height 20 cm?

Back

Surface Area = 2(5*9 + 5*20 + 9*20) = 650 cm².