Draw The Cake

A cubical cake is cut into several smaller cubes by dividing each edge into 7 equal parts.The cake is cut from the top along the two diagonals forming four prism.Some of them get cut and rest remained in the cubical shape.A complete cubical (smaller) cake was given to adults and the cut off part of a smaller cake is given to a child (which is not an adult).If all the cakes were given equally each piece to a person,total how many people could get the cake?

A backerman sells 5 types of cakes .Profit due ot sale of each type of cake is respectively 3,2.5,2,1.5 and 1. The demands for these cakes are 10%,5%,20%,50 and 15% respectivley. What is the expected profit per cake ?

Case 1: Prisha is baker. She added the ingredients according to the recipe and placed it in the oven. When the cake was ready, she took it out from the oven. She was surprised as the cake hard instead of soft and fluffy. Which of the following ingredient did she miss to add while preparing the cake?

A cake as shown has three layers , each of which is a cuboid as shown. The bases of these cuboids are squares whose sides are of lengths 15 cm, 30 cm and 45 cm cm. The height of each layer is 5 cm. Find the total area of the cake that must be frosted. Assume that there will be frosting between the layers, but not at the bottom of the cake.