Rodayna is making a huge cake in the shape of a house. the cake is a square prism with a pyramid on top. rodayna's made enough batter for 10,000 in3 of cake and enough frosting to frost 3000 in2 of cake. does she have enough frosting and batter to make this cake? (she does not frost the bottom of the cake.) the formula for the volume of a right pyramid is, where b is the area of the base and h is the distance from the center of the base of the pyramid to its vertex.

Question

Mathematics

Albert

20 May, 23:11

Rodayna is making a huge cake in the shape of a house. the cake is a square prism with a pyramid on top. rodayna's made enough batter for 10,000 in3 of cake and enough frosting to frost 3000 in2 of cake. does she have enough frosting and batter to make this cake? (she does not frost the bottom of the cake.) the formula for the volume of a right pyramid is, where b is the area of the base and h is the distance from the center of the base of the pyramid to its vertex.

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Brynn Valenzuela · Answer 1

To determine if the batter and frosting will be enough to make the cake with the desired dimensions, we solve for the area of the cake by determining the lateral area of the prism and the right pyramid at the top. Also, for the batter, determine the volume of the pyramid and the prism. It is then better if the dimensions are given.