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Question 6

Tofu blocks are cooked by frying them in oil. During cooking, oil is absorbed onto the surface of the tofu.

The diagram below shows three differently shaped blocks of tofu prepared from the same batch. Each block has a volume of 64.0 cm3.

Three blocks of tofu: Block A is a cube of side length 4 cm. Block B is a rectangular block with a height of 8 cm, a width of 4 cm, and a depth of 2 cm. Block C is a rectangular block with a height of 8 cm, a width of 8 cm, and a depth of 1 cm. Only the dimension of Block A's side length '4 cm' is explicitly shown on the diagram representing the cube.

a.

The table below shows the surface area, volume, and surface area to volume ratio for Block B and Block C. Complete the table by calculating and filling in the values for Block A, which is a cube with a side length of 4.0 cm.

BlockSurface area (cm2\text{cm}^2cm2)Volume (cm3\text{cm}^3cm3)Surface area to volume ratio
A(i)(ii)(iii)
B112.064.01.75:11.75 : 11.75:1
C160.064.02.50:12.50 : 12.50:1
[3]
b.

Consuming too much oil is associated with negative health outcomes. Explain which block shape, A, B, or C, is the healthiest choice to eat.

[3]

Level of organisation Questions

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