Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

You are not logged in.

- Topics: Active | Unanswered

Pages: **1**

**Toast****Real Member**- Registered: 2006-10-08
- Posts: 1,321

5 litres of water is poured into a cuboid with base dimensions of 10 cm by 12 cm and a height of 50 cm. What is the depth of water in the cuboid correct to the nearest millimetre?

Offline

**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,630

5 litres = 5000 cm[sup]3[/sup]

5000/(10x12) = 41.666... cm = 42 mm (to the mm)

"The physicists defer only to mathematicians, and the mathematicians defer only to God ..." - Leon M. Lederman

Offline

**Toast****Real Member**- Registered: 2006-10-08
- Posts: 1,321

Why, uh, do you divide by (10x12)?

Offline

**mathsyperson****Moderator**- Registered: 2005-06-22
- Posts: 4,900

Because that's the base area of the cuboid. The height of water will go up by 1cm for every 120cm³ you pour in, so to find the height you need to divide the volume by that.

Why did the vector cross the road?

It wanted to be normal.

Offline

Pages: **1**