Question

two boxes used to hold sugar are shown below. one is a cube with side lengths that are 8 centimeters each. the other is a right rectangulsr prism (box) that is 16cm by 4 cm by 8 cm. ehich box if either would hold more sugar? show how you determined your answer.

Answer 1

Neither of the boxes, would hold more sugar, they would hold exactly the same amount of sugar because they have the same volumes.

Step-by-step explanation

To determine which one of these will hold more sugar, we will find the volume of both structures.

Volume of a cube = L³

Volume of a rectangular prism = LWH

Volume of a cube = L³

L = Length of the cube = 8 cm

Volume of a cube = L³ = 8³ = 512 cm³

Volume of a rectangular prism = LWH

L = Length of the rectangular prism = 16 cm

W = Width of the rectangular prism = 4 cm

H = Height of the rectangular prism = 8 cm

Volume of a rectangular prism = LWH = 16 × 4 × 8 = 512 cm³

We can see that the volume of the two figures are the same.

So, neither of the boxes, would hold more sugar, they would hold exactly the same amount of sugar.

Hope this Helps!!!