A rectangular prism has a volume of 10 cubic units. If the length width and height of the prism are all each made 3 times as long what is the new volume?

270 units³

Step-by-step explanation:

l×w×h = 10

lwh = 10

New Volume = (3l)×(3w)×(3h)

= 27×lwh

= 27×10

= 270 units³

Alternately,

Since the sides are increased in the same ratio,

The two prisms are similar figures

For similar figures,

volume1/volume2 = (side1/side2)³

New Volume/10 = (3/1)³ = 27

New Volume = 270 units³

in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

hope it

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°