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Mensuration: Areas and Volumes · Question 58 of 68

Question 58

EasyOriginal question

Three identical cubes, each of edge 5 cm, are glued face to face in a row to form a cuboid. What is the total surface area of the cuboid?

Options for question 58

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. The cuboid measures 15 cm × 5 cm × 5 cm.

  2. Total surface area = 2×(15×5+5×5+15×5)=2×175=3502 \times (15 \times 5 + 5 \times 5 + 15 \times 5) = 2 \times 175 = 350 cm².

Worth noting

450 cm² adds the three cubes' surfaces (3×150)(3 \times 150) but the four glued faces are hidden. 400 cm² hides only two faces.

Concept
Surface area after joining solids
Typical time
40 s
Your time
—
The rule this testsMelting, recasting and combined solids
Practise this chapter →

Ten questions from Mensuration: Areas and Volumes, at your own pace.

Practise this chapter →

Ten questions from Mensuration: Areas and Volumes, at your own pace.