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?

  • AHeightwidth÷
  • BWidthheight×
  • CLengthwidthheight++
  • DLengthwidthheight×÷

Q2:

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

  • ABaseheight×
  • B2××baseheight
  • CBaseheightwidth××
  • D12××baseheight

Q3:

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

  • AAreaofonefaceheight×
  • BHeightwidthlength××
  • CAreaofonefacenumberoffaces×
  • DVolumeofcubenumberoffaces÷

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.

  • A601
  • B1201
  • C11
  • D0.060.001

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?

  • A12
  • B21
  • C11
  • D13

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.

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