# Lesson Worksheet: Geometry and Trigonometry Biology

In this worksheet, we will practice calculating the area and surface area 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 (mm2), of the cube. Q9:

An agar cube has a length of 12 cm. Calculate the volume of the cube in cubic centimeters (cm3).

Calculate the surface area of the cube in square centimeters (cm2).

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 (μm3). This lesson includes 10 additional question variations for subscribers.