Measurement, NAPX-E4-CA32 SA

Question

Two views of a trapezoidal prism are shown below.



Each square on this grid has an area of one square centimetre.

The vertical edges of the prism are 5 centimetres.

What is the volume of the prism in cubic centimetres?

Worked Solution

The area of the base
= 14 squares + 8 triangles (1 × 1) + 1 triangle (1 × 4)
= 14 + (8×12)\bigg( 8 × \dfrac{1}{2} \bigg) + 2
= 20 cm³

∴\therefore Volume = 20 × 5
= {{{correctAnswer0}}} {{{suffix0}}}

Variant 0

DifficultyLevel

770

Question

Two views of a trapezoidal prism are shown below.



Each square on this grid has an area of one square centimetre.

The vertical edges of the prism are 5 centimetres.

What is the volume of the prism in cubic centimetres?

Worked Solution

The area of the base
= 14 squares + 8 triangles (1 × 1) + 1 triangle (1 × 4)
= 14 + (8×12)\bigg( 8 × \dfrac{1}{2} \bigg) + 2
= 20 cm³

∴\therefore Volume = 20 × 5
= 100 cubic centimetres

Question Type

Answer Box

Variables

Variable nameVariable value
correctAnswer0
100
prefix0
suffix0
cubic centimetres

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer0100

cubic centimetres

Tags