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Simplification & Approximation · Question 66 of 71

Question 66

MediumOriginal question

What is 33703×4.02\sqrt[3]{3370} \times 4.02 approximately equal to?

Options for question 66

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. 153=337515^3 = 3375, which is very close to 3370, so 33703≈15\sqrt[3]{3370} \approx 15.

  2. 15×4=6015 \times 4 = 60.

Worth noting

Know the cubes up to 203=800020^3 = 8000. A square root of 3370 would be about 58, which is a different operation.

Concept
Estimating a cube root with a known cube
Typical time
50 s
Your time
—
The rule this testsApproximation
Practise this chapter →

Ten questions from Simplification & Approximation, at your own pace.

Practise this chapter →

Ten questions from Simplification & Approximation, at your own pace.