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Dafna1 [17]
3 years ago
6

Mary is building a sandcastle with rectangular prism molds. One mold is 4 inches long, 6 inches wide, and 2 inches tall. The oth

er mold is 3 inches long, 5 inches wide, and 1 inch tall. If she creates a castle by stacking these molds on top of each other, what volume of sand will be contained in her castle?
Mathematics
2 answers:
Oksanka [162]3 years ago
6 0

Answer:

The whole castle can hold 63 in² of sand.

Step-by-step explanation:

First, find the volume of the first mold.

V = whl          Substitute

V = (6)(2)(4)    Multiply

V = 48 in²

Now, find the volume of the second mold.

V = whl          Substitute

V = (5)(1)(3)    Multiply

V = 15 in²

Add together both volumes to find the volume of the whole castle.

48 + 15 = 63 in²

Fed [463]3 years ago
3 0

Answer:

63 cubic inches

Step-by-step explanation:

You have to first find the volume of each mold:

6 × 4 × 2= 48 cubic inches

3 × 5 × 1= 15 cubic inches

Add these two volumes together to find the overall volume of the whole sand castle.

48+15= 63 cubic inches

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Dahasolnce [82]

Answer:

a. The constant = 45

b. The unit rate is 45 miles per hour

c. d = 45t

Step-by-step explanation:

a. ∵ d ∝ t

∴ d = kt

∵ d = 90 at t = 2

∴ 90 = k(2)

∴ k = 90 ÷ 2 = 45

∴ The constant of proportionality is 45

b. ∵ k = d(miles) ÷ t(hours) = 45

∴ The unit rate is 45 miles per hour

c. The equation is ⇒ d = 45t

3 0
3 years ago
Polygon MNOPQ is dilated by a scale factor of 0.8 with the origin as the center of dilation, resulting in the image M’N’O’P’Q’.
N76 [4]
Answer:
slope of M'N' = 1

Explanation:
First, we will need to get the coordinates of points M' and N':
We are given that the dilation factor (k) is 0.8
Therefore:
For point M':
x coordinate of M' = k * x coordinate of M 
x coordinate of M' = 0.8 * 2 = 1.6
y coordinate of M' = k * y coordinate of M
y coordinate of M' = 0.8 * 4 = 3.2
Therefore, coordinates of M' are (1.6 , 3.2)

For point N':
x coordinate of N' = k * x coordinate of N 
x coordinate of N' = 0.8 * 3 = 2.4
y coordinate of N' = k * y coordinate of N
y coordinate of N' = 0.8 * 5 = 4
Therefore, coordinates of M' are (2.4 , 4)

Then, we can get the slope of M'N':
slope = (y2-y1) / (x2-x1)
For M'N':
slope = (3.2-4) / (1.6-2.4)
slope = 1

Hope this helps :)
8 0
3 years ago
What number is equal to square root 64?
Romashka-Z-Leto [24]

64 has two square roots, namely 8 and −8 , since:

82=(−8)2=64.

When we say "the square root", what is usually intended is "the principal square root", which in the case of the Real square root of a positive number is the positive one. Any non-zero number n has two square roots.

8 0
3 years ago
Find the angle of depression from point A to point C.
mamaluj [8]

Answer:

angle of depression = 24°

Step-by-step explanation:

The angle between BA and the horizontal broken line = 90°

Thus the angle of depression ? = 90° - 66° = 24°

4 0
3 years ago
8.3.4 Karl bought five folders from Pay-A-Lot at a cost of $2.50 each. Pay-A-Lot had a 20% -off sale the following day. How much
aliya0001 [1]

Answer:

Karl could have saved $2.50

Step-by-step explanation:

Cost of folders without the sale: 2.5*5 = $12.50

Cost of folders with the sale: 0.8*2.5 = $2 per folder * 5 folders = $10.00

Difference between prices: 12.5-10 = $2.50

7 0
2 years ago
Read 2 more answers
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