Question

9) a) Find the surface area of this right rectangular prism. 420 m² a. b. 300 m²2 c. 600 m² d. 480 m² 15 m 6 m 10 m b) Marcelo has a bag that contains 3 red, 1 blue, 6 green, and 2 yellow marbles. What fractional part of the bag of marbles is red?

Answer 1

a) The surface area of a right rectangular prism is given by the formula `2lw + 2lh + 2wh`, where `l`, `w`, and `h` are the length, width, and height of the prism respectively. Plugging in the values for this prism, we get `2(15)(6) + 2(15)(10) + 2(6)(10) = 180 + 300 + 120 = 600`. So the surface area of this right rectangular prism is **600 m²**.

b) Marcelo has a total of `3 + 1 + 6 + 2 = 12` marbles in his bag. The fractional part of the bag that is red is `3/12` which can be simplified to **1/4**.

Answer 2

a) To find the surface area of a right rectangular prism, we need to calculate the area of each face and then sum them up. The formula for the surface area of a right rectangular prism is:

Surface Area = 2lw + 2lh + 2wh

where l, w, and h are the length, width, and height of the prism, respectively.

In this case, we don't have the dimensions of the prism, so we can't calculate the surface area.

b) To find the fractional part of the bag of marbles that is red, we need to calculate the ratio of the number of red marbles to the total number of marbles in the bag.

Given that Marcelo has 3 red, 1 blue, 6 green, and 2 yellow marbles, the total number of marbles in the bag is:

Total number of marbles = 3 + 1 + 6 + 2 = 12

So, the fractional part of the bag of marbles that is red is:

Fractional part = Number of red marbles / Total number of marbles = 3 / 12 = 1/4

Therefore, one-fourth (1/4) of the bag of marbles is red.