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A rectangular cardboard sheet has length...

A rectangular cardboard sheet has length 32 cm and breadth 26 cm. The four squares each of side 3 cm are cut from the corners of the sheet and the sides are folded to make a rectanguler container. Find the capacity of the container.

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To find the capacity of the rectangular container formed by cutting squares from the corners of a rectangular cardboard sheet, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the dimensions of the cardboard sheet:** - Length = 32 cm - Breadth = 26 cm 2. **Determine the size of the squares cut from each corner:** - Side of each square = 3 cm 3. **Calculate the new dimensions of the container after cutting and folding:** - **New Length:** - Original Length - (2 × Side of Square) - New Length = 32 cm - (2 × 3 cm) = 32 cm - 6 cm = 26 cm - **New Breadth:** - Original Breadth - (2 × Side of Square) - New Breadth = 26 cm - (2 × 3 cm) = 26 cm - 6 cm = 20 cm - **Height of the Container:** - Height = Side of the square cut = 3 cm 4. **Calculate the volume of the container:** - Volume = Length × Breadth × Height - Volume = 26 cm × 20 cm × 3 cm - Volume = 1560 cm³ ### Final Answer: The capacity of the container is **1560 cm³**.
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NAGEEN PRAKASHAN-SURFACE AREA AND VOLUME-Exercise 13a
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