Plans and Elevations
-
Either paper 4 marks
Here are the plan, the front elevation and the side elevation of a solid.
The solid is \(12\) cm tall, and the circle in the plan has a radius of \(2\) cm.
(a)Write down the name of the solid.
(b)Explain how the elevations show that the solid is not a cylinder.
(c)Find the area of the plan.
Give your answer in terms of \(\pi\).
-
Either paper 2 marks
The plan and the side elevation of a cuboid made from centimetre cubes are shown.
On the grid, draw the front elevation.
-
Either paper 1 mark
Here is the plan of a solid. The plan of a cone is a circle with a dot at its centre.
Circle the solid that it could be.
○ triangular prism
○ square-based pyramid
○ cylinder
○ cone
-
Either paper 3 marks
A solid is made from centimetre cubes. Its plan and its two elevations are drawn on centimetre squared paper below it.
(a)How many cubes is the solid made from?
(b)State the height of the tallest column, in centimetres.
(c)Explain why the plan does not tell you how tall the solid is.
-
Either paper 3 marks
Here is a cylinder.
The cylinder stands on a flat table.
(a)Write down the name of the shape of the plan of the cylinder.
(b)Work out the width and the height of the front elevation of the cylinder.
-
Either paper 5 marks
Here is a cuboid. It is \(9\) cm wide, \(5\) cm deep and \(7\) cm high.
Each of the three views of the cuboid is a rectangle.
(a)Write down the two measurements of the plan of the cuboid.
(b)Work out the area of the front elevation of the cuboid.
(c)Work out the area of the side elevation of the cuboid.
-
Either paper 2 marks
A solid is made from centimetre cubes. It is three cubes wide and two cubes deep.
The front row of columns is 3, 1 and 2 cubes tall, from left to right. The back row is 1, 2 and 2 cubes tall.
On the grid, draw the front elevation of the solid.
-
Either paper 2 marks
A solid is made from centimetre cubes. It is three cubes wide and three cubes deep.
The columns of cubes are this many cubes tall, from left to right in each row.
Front row: 1, 3, 1
Middle row: 2, 3, 3
Back row: 5, 4, 1
On the grid, draw the side elevation of the solid, looking at it from the left-hand side.
-
Either paper 2 marks
A solid is made from 15 centimetre cubes, standing in 5 stacks on a table.
The front of the solid is the side that faces the lower right of the picture, and its left-hand side faces the lower left.
On the grid, draw the plan of the solid, with the front at the bottom of the grid.
-
Either paper 2 marks
The front elevation of a cuboid is shown on the centimetre grid below. Each square is 1 cm by 1 cm.
The volume of the cuboid is \(45\ \text{cm}^3\).
On the grid, draw the side elevation of the cuboid. Start at the bottom left corner of the grid.
-
(a) A cone
(b) In the elevations the sides slope in to a point at the top, instead of standing straight up
(c) \(4\pi\ \text{cm}^2\) - A shaded rectangle 5 squares wide and 3 squares tall
- cone
-
(a) \(7\)
(b) \(4\ \text{cm}\)
(c) the plan is the view from above, so it shows only which squares are covered, not how many cubes are stacked on each -
(a) A circle
(b) \(8\) cm wide and \(12\) cm high -
(a) \(9\) cm by \(5\) cm
(b) \(63\ \text{cm}^2\)
(c) \(35\ \text{cm}^2\) - Three columns of squares, 3, 2 and 2 tall from left to right
- Three columns of squares, 5, 3 and 3 tall from left to right
- The 5 squares that are the footprint of the stacks, the plan of the solid
- A rectangle of shaded squares 5 squares across and 3 squares up, with its bottom left corner at the bottom left corner of the grid
Takes a couple of seconds the first time a sheet is made.