Lauren’s family room is the shape of a rectangular prism with a volume of 1,120 cubic feet. if she decides to knock out the wall and triple the length of her family room, what will happen to the volume?

Let a be the width of Lauren’s family room, b be the length of it and c - the height. Then the volume of Lauren’s family room is a volume of a rectangular prism:

This volume is equal to 1,120 cubic feet, so

If she triples the length of her family room, then new length is 3b (width and height left the same) and new volume is

cubic feet.

the new volume will be tripled and its value will be 3,360 cubic feet.

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.

30 people weigh 160 pounds or more