This lesson includes 10 additional question variations for subscribers.

# Lesson Worksheet: Geometry and Trigonometry Biology

In this worksheet, we will practice calculating the area, surface area, and volume of simple 2D and 3D shapes.

**Q1: **

Which of the following is the correct formula to calculate the area of a rectangle?

- A
- B
- C
- D

**Q2: **

Which of the following is the correct formula to calculate the area of a triangle?

- A
- B
- C
- D

**Q3: **

Which of the following is the correct equation to calculate the surface area of a cube?

- A
- B
- C
- D

**Q4: **

Which of the following formulas would calculate a surface-area-to-volume ratio?

- ASurface area volume
- BSurface area volume
- CVolume surface area
- DSurface area volume

**Q5: **

Which of the following statements is correct about the surface area of a 3D shape?

- AThe surface area of a 3D object is length width height.
- BThe surface area of a 3D object is the sum of the area of all its faces.
- CThe surface area of a 3D object is (length + width) height.
- DThe surface area of a 3D object is the sum of all its edges.

**Q6: **

Which of the following is the correct equation to calculate the volume of a cube or a rectangular prism?

- ALength width height
- BLength width height
- CLength width height
- DLength width height

**Q7: **

Assume a plant cell has the shape of a cube and the width of the cell is 0.1 mm. Calculate the simplest surface-area-to-volume ratio (SA:V) of this cell.

- A
- B
- C
- D

**Q8: **

An agar cube, shown in the diagram, is used to investigate the rate of diffusion when
placed into a solution containing dye. The width of the cube is 12 mm. Calculate the
surface area, in square millimeters (mm^{2}), of the cube.

**Q9: **

An agar cube has a length of 12 cm.

Calculate the volume of the cube in cubic centimeters (cm^{3}).

Calculate the surface area of the cube in square centimeters (cm^{2}).

What is the surface-area-to-volume ratio of the cube?

- A
- B
- C
- D

**Q10: **

Assume a plant cell has a cuboidal shape. The cell has a width of 10 μm, length of 20 μm, and depth of 1 μm. Calculate the volume of the cell in cubic micrometers (μm^{3}).