The square brass plate of side x cm is 1 mm thick and weighs 5.44 kg. If 1 cm³ of brass weighs 8.5 g, find the value of x.
Mensuration
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Question

The square brass plate of side x cm is 1 mm thick and weighs 5.44 kg. If 1 cm3 of brass weighs 8.5 g, find the value of x.

KnowledgeBoat · Accepted Answer

Given, Side of square = x cm. Thickness of brass = 1 mm = 0.1 cm Total weight = 5.44 kg = 5440 g 1 cm3 of brass weighs 8.5 g Density = 8.5 g/cm3 Calculating the volume of the brass, Volume of the brass = = = 640 cm3. Calculating the area of the plate, Area of the plate = length × breadth = x × x = x2 We know that, Volume = Area of the plate × Thickness of the brass. ⇒ 640 = x2 × 0.1 ⇒ x2 = ⇒ x2 = 6400 ⇒ x = ⇒ x = 80 cm. Hence, x = 80 cm.

Mathematics

The square brass plate of side x cm is 1 mm thick and weighs 5.44 kg. If 1 cm³ of brass weighs 8.5 g, find the value of x.

Mensuration

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