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Solid shapes · Usually met around P5

Front, side and top views

Each line shows only its tallest.

How to do it

Method

Each line shows only its tallest

Back row 3, 2, 1 high → 3 + 2 + 1 = 6 squares from the front

Another way

Write a height plan first

Back row 3 2 1, front row 2 1 0

In full

The same solid looks different from different sides. From the front: in each column across you see only the tallest stack, so write the heights left to right. From the right: the front row is on the left and the back row on the right, and you see the tallest in each row. From above: you see one square for each place that has cubes, the back row at the top and the front row at the bottom. Way 1: write each stack's height on a plan first, then draw each view from the plan. Way 2: imagine standing on that side and leave out every cube hidden behind another. Going back from views to a solid, a view only tells you the tallest in each line, so the number of cubes can have a fewest and a most.

Worked examples

Have a go first, then open each one for the answer and the working.

  1. Example 1

    The solid is built of small cubes (every column stands on the ground). How many squares do you see from the front?

    Show the answer and working

    Answer: 12 squares

    Each column across shows only its tallest stack: 6 + 4 + 2 = 12.

  2. Example 2

    The solid is built of small cubes (every column stands on the ground). How many squares do you see from above?

    Show the answer and working

    Answer: 5 squares

    Each place with cubes shows one square, however tall: 3 at the back, 2 at the front, 5 in all.

  3. Example 3

    The solid is built of small cubes (every column stands on the ground). From the right you see 8 squares.

    True or false?

    Show the answer and working

    Answer: False

    From the right, the front row's tallest is 2 and the back row's 4: 2 + 4 = 6.

Practise it in the game →Solid shapes · Free to start, unlimited questions, no download