# Lesson Worksheet: Geometry and Trigonometry in Biology Biology

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

Q1:

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

• AHeight width
• BWidth height
• CLength + width + height
• DLength width height

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). 