Question

Tomy designed a 3-layered cake, each layer with an equal height of 10 cm and a constant width of 10 cm. The length reduced to half of its bottom layer. Calculate the total volume of the cake. (Ignore the candle)

• A. 4,950 cubic cm
• B. 5,000 cubic cm
• C. 4,900 cubic cm
• D. 4,980 cubic cm

Answer 1

The correct option is C 4,900 cubic cm

Volume of the cake = Sum of volumes of all the three layers of cake.

Volume of cuboid
= Length $\times$ Width $\times$ Height

Dimensions of the bottom cake:
Length = 28 cm
Width = 10 cm
Height = 10 cm

Volume = 28 $\times$ 10 $\times$ 10
= 2,800 cubic cm

Dimensions of the middle cake:
Length = 14 cm (reduced to half)
Width = 10 cm
Height = 10 cm

Volume = 14 $\times$ 10 $\times$ 10
= 1,400 cubic cm

Dimensions of the top cake:
Length = 7 cm (reduced to half)
Width = 10 cm
Height = 10 cm

Volume = 7 $\times$ 10 $\times$ 10
= 700 cubic cm

Total volume = 2800 + 1400 + 700
= 4,900 cubic cm