Question

10the first layer of a right rectangular prism is shown below. each small cube has a volume of 1 cubic unit.key= 1 cubic unitthe height of the entire right rectangular prism is 6 unit cubes. what is the volume, in cubic units, of this prism?a 15b 23c 60d 90a baker has $\frac{1}{4}$ of a box of muffin mix. he pours all the muffin mix equally intowhat fraction of the whole box of muffin mix is in each bowl?a $\frac{1}{12}$b $\frac{3}{4}$c $2\frac{3}{4}$$3\frac{1}{4}$

Explanation:

Step1: Count cubes in first layer

Count the number of unit cubes in the base layer: $5 \times 3 = 15$

Step2: Calculate total volume

Multiply base layer count by height: $15 \times 6 = 90$
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Step1: Set up division for muffin mix

Divide the mix amount by bowl count: $\frac{1}{4} \div 3$

Step2: Rewrite division as multiplication

Use reciprocal of divisor: $\frac{1}{4} \times \frac{1}{3} = \frac{1}{12}$

Answer:

1. D 90
2. A $\frac{1}{12}$