Solids, plans and elevations
3 exam-style questions. Answers and the mark for each step are on the last page.
- Question 1
(a) How many edges does a triangular prism have?
- Question 2
A solid is made of unit cubes in six stacks on a three-column, two-row base. Front-row heights from left to right are 2, 1, 3. Back-row heights are 2, 4, 1. All stacks are full with no gaps.
(a) Find the number of unit squares visible in the front elevation.
(b) Find the volume in cubic units.
- Question 3
A cuboid has front width 1.2 m, height 0.75 m and depth 40 cm. Its front face is viewed straight on.
(a) Which shape is the front elevation? Select one answer.
(b) Find the area of the front elevation in square centimetres.
(c) Find the volume in litres. Use 1000 cubic centimetres = 1 litre.
Answers and marks
Question 1
(a)
- B1 Correct answer:
Question 2
(a)
- M1 For each column use the taller of the front and back stacks.
- A1 Correct answer:
(b)
- M1 Add the heights of all six stacks.
- A1 Correct answer:
Question 3
(a) A rectangle
- B1 Correct answer: A rectangle
(b) cm²
- P1 Convert both visible lengths to centimetres.
- P1 Multiply the front width by the height, not the depth.
- A1 Correct answer: cm²
(c) litres
- P1 Multiply the three centimetre dimensions, then convert volume units.
- A1 Correct answer: litres