Srekar needs to increase the size of the prism below by 2 inches on each side. The original prism has a length of 3, a depth of 2, and a height of 1. A prism has a length of 3, height of 1, and width of 2. Which statements about the new prism are true? Check all that apply.

The true statements include

- the new prism will have a length of 5

- the new prism will have a depth of 4

Step-by-step explanation:

The options as obtained from the internet.

- the new prism will have a length of 5

- the new prism will have a depth of 4

- the new prism will have a height of 2

- the volume will increase by 6 and each of the 3 dimensions is increased by 2.

- srekar could increase the volume by the same amount by just adding 6 to the height instead of 2 to each side

The volume of a rectangular prism is (length × depth × height)

Originally, length = 3 inches

Depth = 2 inches

Height = 1 inch

Original volume = 3×2×1 = 6 in³

Then, Sreka adds 2 inches to each of the dimensions,

New length = 3+2 = 5 inches

New depth = 2+2 = 4 inches

New height = 1+2 = 3 inches

New volume = (5×4×3) = 60 in³

Taking each of the statements one at a time

Statement 1

the new prism will have a length of 5

True!

Statement 2

the new prism will have a depth of 4

True!

Statement 3

the new prism will have a height of 2

False! New height = 3 inches

Statement 4

the volume will increase by 6 and each of the 3 dimensions is increased by 2.

This is false. The volume increased to 10 folds of its original volume.

Statement 5

srekar could increase the volume by the same amount by just adding 6 to the height instead of 2 to each side

Adding 6 inches to the height,

New height = 1+6 = 7 inches

New volume = 3×2×7 = 42 in³

This statement is false as the new volume from adding 2 inches to each side is 60 in³

Hope this Helps!!!

step-by-step explanation:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

step-by-step explanation:

given that megan owns a clothing boutique.

the profits of 2010, 11, are recorded and shown as follows:

years since     2010 0     1     2     3       4       5

profits made in 1000's   39       84     111     120   111     84

we find that profit gradually increases form 2010 to 2013 upto 120,   then starts decreasing.

the profits for 2012 and 2014 are the same while that of 2011 and 2015 are also the same.

this shows that there is symmetry about the line profit = 120000

hence answer is:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

read more on -

452,489 to the nearest thousand is 452,000