Worksheet: Finding the Areas of Rectangles and Triangles

In this worksheet, we will practice calculating the areas of rectangles and triangles and calculating the volumes of cuboids.

Q1:

The brick shown in the diagram has a length of 15 cm, a height of 6.5 cm, and a width of 5.5 cm.

What is the volume of the brick? Answer to the nearest cubic centimeter.

What is the area of the largest face of the brick? Answer to the nearest square centimeter.

What is the area of the smallest face of the brick? Answer to the nearest square centimeter.

Q2:

A wall of a house has a length of 𝑙 = 150 cm and an area of 6,500 cm2, as shown in the diagram. What is the height of the wall to the nearest centimeter?

Q3:

A wall of a house has a length of 𝑙 = 12 m and a height = 5.5 m, as shown in the diagram. What is the area of the wall to the nearest square meter?

Q4:

The rectangular prism shown in the diagram has a length of 6.5 cm, a height of 3.0 cm, and a width of 2.5 cm. What is the volume of the section of the rectangular prism outlined in red? Answer to the nearest cubic centimeter.

Q5:

The distance moved by an object is found by multiplying the speed of the object by the time for which the object moves at that speed. The diagram shows a graph of the speed of an object for a time of 4.0 s. What distance does the object move?

Q6:

The distance moved by an object is found by multiplying the speed of the object by the time for which the object moved at that speed. The diagram shows a graph of the speed of an object for a time of 4.0 s. What distance did the object move?

Q7:

A rectangular prism has a length 𝐿 = 5 5 c m , a width 𝑊 = 2 8 c m , and a height 𝐻 = 2 2 c m . The prism is partially hollow. The empty volume within the rectangular prism is outlined in red. The distance = 1 8 c m . What is the volume of the solid part of the rectangular prism? Answer to the nearest cubic centimeter.

Q8:

A rectangular wall, shown in the diagram, has a length 𝑙 = 1 8 m and a height = 1 1 m . The part of the wall shown in orange is in the shade, and the part of the wall shown in white is in direct sunlight.

What is the area of the wall? Answer to the nearest square meter.

What is the area of the part of the wall in direct sunlight? Answer to the nearest square meter.

Q9:

The distance moved by an object is found by multiplying the speed of the object by the time for which the object moves at that speed. The diagram shows a graph of the speed of an object for a time of 4.0 s. What distance does the object move?

Q10:

A rectangular wall, shown in the diagram, has a length 𝑙 = 1 5 m and a height = 1 0 m. The part of the wall shown in orange is in the shade, and the part of the wall shown in white is in direct sunlight.

What is the area of the wall? Answer to the nearest square meter.

What is the area of the part of the wall in direct sunlight? Answer to the nearest square meter.

Q11:

The distance moved by an object is found by multiplying the speed of the object by the time for which the object moves at that speed. The diagram shows a graph of the speed of two objects for a time of 4.0 s. What is the difference between the distances moved by the two objects?

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