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stiks02 [169]
3 years ago
15

Soham's video game system measures 8 inches long, 6 inches wide, and 2 inches tall. Sean's video game system measures 1 inch lon

ger on all sides. What is the combined volume of the two game systems?
Mathematics
1 answer:
Lady_Fox [76]3 years ago
5 0

Answer:

Combined volume of the two game systems  =416 cubic inches

Step-by-step explanation:

Volume of a cuboid = length × breadth × height

Soham's video game system measures 8 inches long, 6 inches wide, and 2 inches tall.

So,

Volume of Soham's video game system = 8 × 6 × 2 = 96 cubic inches

As Sean's video game system measures 1 inch longer on all sides,

the video game system measures 8+2=10 inches long, 6+2=8 inches wide, and 2+2=4 inches tall.

Volume of the video game system = 10 × 8 × 4 = 320 cubic inches.

Therefore,

Combined volume of the two game systems = 96+320=416 cubic inches

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What is the area of this trapezoid?
DanielleElmas [232]
Rectangle A= L*W
Triangle A= L*W*1/2

A= L*W
A=8*14
A=112

A= L*W*1/2
A= 8*3*1/2
A= 24*1/2
A= 12

A= L*W*1/2
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5 0
4 years ago
Do 3 lines always, sometimes or never intersect at one point?
Pie

Answer:

Sometimes

Step-by-step explanation:

Three line sometimes intersect

7 0
3 years ago
The two pyramids are similar. Find the volume of the smaller pyramid. Round your answer to the nearest hundredth.
mihalych1998 [28]

Answer:

A) 5.12mm³

Step-by-step explanation:

Step 1

Find the volume of the bigger pyramid

This is a triangular based pyramid.

The formula to use is given as Volume of Pyramid =

1/3 × Area of the triangle × Height

Area of the triangle = 1/2 × 3 mm × 4mm = 6mm²

Volume of the large pyramid = 1/3 × 6mm² × 5mm

= 10mm³

We are given the length of the small pyramid as 4mm

We would be using was is known as scale factor to find the volume of the small pyramid

The scale factor k = (Height of the small pyramid)³/ (Height of the Large pyramid)³

k = 4³/5³

k = Volume of small pyramid/ Volume of large pyramid

Volume of small pyramid = X

Volume of large pyramid = 10mm³

Hence,

4³/5³ = X/10

Cross Multiply

= 4³ × 10 = 5³ × X

X = (4³ × 10)/ 5³

X = 5.12mm³

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4 years ago
I need help on this please
Misha Larkins [42]

Answer:

B. R/3

Step-by-step explanation:

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3 years ago
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