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mihalych1998 [28]
3 years ago
6

A teacher covered the exterior of a rectangular prism-shaped box that measured 8 inches by 9 inches by 10 inches using one sheet

of rectangular-shaped wrapping paper that measured 2 feet by 3 feet. There were no gaps or overlapping paper. How many square inches of wrapping paper were left over? Choose an answer
Mathematics
1 answer:
Ahat [919]3 years ago
5 0

Answer:

380 square inches

Step-by-step explanation:

We are given the measurements of the Rectangular Prism as

8 inches by 9 inches by 10 inches

Where based on the order of arrangement:

8 inches = Length

9 inches= Width

10 inches = Height

Step 1

Find the amount of wrapping paper needed

Perimeter = 2L + 2W

= 2 × 8 + 2 ×9

= 16 + 18

= 34 inches

Base = L × W

= 8 × 9

= 72 inches

Surface Area of the Rectangular Prism =PH + 2B

Where P = Perimeter

H = Height

B = Base

= 34 × 10 + 2× 72

= 340 + 144

= 484 square inches

The area of the Rectangular prism = 484 square inches

Step 2

So we were told that she used wrapping paper the measured 2 feet by 3 feet.

We would convert the values in feet to inches

1 ft = 12 inches

Length = 2 ft = 2 × 12 = 24 inches

Width = 3 ft = 3 × 12 = 36 inches

We find the area of the wrapping paper

Length × Width = 24inches × 36 inches = 864 square inches.

Step 3

The amount of square inches of wrapping paper left over is calculated as:

Area of the wrapping paper used - Area of the Rectangular prism

= 864 square inches - 484 square inches

= 380 square inches.

Therefore, the amount of square inches of wrapping paper left over is 380 square inches.

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What is the equation of a line that is parallel to y=5/6x-10 and passes through (12,8)?
Gekata [30.6K]

Answer:

y-8=5/6(x-12)

Step-by-step explanation:

y-y1=m(x-x1)

y-8=5/6(x-12)

8 0
3 years ago
For which of the following are x=4 and x=-4 solutions?
ELEN [110]

Answer:

2x2 - 5x - 12 = 0.

(2x + 3)(x - 4) = 0.

2x + 3 = 0 or x - 4 = 0.

x = -3/2, or x = 4. I hope this helps

Step-by-step explanation:

5 0
3 years ago
REPOST
melamori03 [73]

Answer:

  1. 5/48, 3/16, .5, .75, 13
  2. 1/5, .35, 12/25,  .5, 4/5
  3. -3/4, -7/10, 3/40, 8/10
  4. -.65, -3/8, 5/16, 2/4

Step-by-step explanation:

  1. 5/48 = 1.0291666666 | 3/16 = .1875 the rest is obvious
  2. 1/5 = .2 | 12/25 = .48 | 4/5 = .8
  3. -3/4 = -.75 | -7/10 = -.7 | 3/40 = .075 | 8/10 = .8
  4. -3/8 = -.375 | 5/16 = .3125 | 2/4 = .5
5 0
2 years ago
Find the area of the pentagon pictured below.
podryga [215]

Answer:

84.3

Step-by-step explanation:

Google Google Google GoogleGoogle Google Google GoogleGoogle Google Google GoogleGoogle Google Google Google

8 0
3 years ago
Una persona va a solicitar un prestamo en el banco de 35,000 pesos, con una tasa de interes del 3% va a pagar en 5 años cual ser
Nuetrik [128]

Respuesta:

5250

Explicación paso a paso:

Dado que :

Importe del préstamo, principal, p = 35000

Tasa de interés, r = 3% = 0.03

Tiempo, t = 5 años

Usando la fórmula de interés simple:

Interés = principal * tasa * tiempo

Interés = 35000 * 0.03 * 5

Intereses = 5250 pesos

8 0
2 years ago
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