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.

Tags

CCSS.7.G.B.6

Front

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

Back

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

Tags

CCSS.7.G.B.6

Front

What is the difference between square units and cubic units?

Back

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

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

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.

Tags

CCSS.7.G.B.6

Front

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

Back

Height = Volume / (Length × Width).

Tags

CCSS.7.G.B.6

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.

Tags

CCSS.7.G.B.6

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.

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

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.

Tags

CCSS.6.G.A.4

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.

Tags

CCSS.7.G.B.6

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.

Tags

CCSS.6.G.A.4