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Klio2033 [76]
3 years ago
6

How many 1/4 ft cubed make up the volume of this prism ?​

Mathematics
1 answer:
DIA [1.3K]3 years ago
6 0

Answer:

Each cube with side lengths of 1/4 has a volume of (1/4)3 which means each cube's volume is 0.015625 cubic units. To find how many cubes are needed to fill the prism, divide 3 cubic units by 0.015625 cubic units. Your answer will be 192 cubes.

Step-by-step explanation:

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In the accompanying diagram, parallelogram ABCD has
Taya2010 [7]

Answer:

The area of the paralellogram is 24 square units.

Step-by-step explanation:

Geometrically speaking, the area of the parallelogram has an equation equivalent to the area formula for a rectangle, that is:

A = b\cdot h (1)

Where:

A - Area.

b - Base.

h - Height.

The base and height of the parallelogram are, respectively:

Base

b = 8-2

b = 6

Height

h = 5-1

h = 4

Then, the area of the parallelogram is:

A = (6)\cdot (4)

A = 24

The area of the paralellogram is 24 square units.

5 0
3 years ago
30 x 890765 whatever that equals add 6 then x it by 2
Bond [772]
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3 0
3 years ago
Find the volume and surface area of the prism below
Nata [24]

Answer:

a) The volume of the prism is 660 mm³

b) The surface area of the prism is 514 mm²

Step-by-step explanation:

The given prism for which we are to find the volume and the surface area shows the dimensions of the sides

a) To find the volume, we can consider the prism as a composite figure as follows;

The topmost cuboid with dimensions (15 - 2×3) mm, 3 mm, and 9 mm

Therefore, the volume of the topmost cuboid, V₁, is given as follows;

V₁ = 5 mm × 3 mm × 9 mm = 135 mm³

The volume of the cuboid on which the top cuboid rest, V₂, is given as follows;

V₂ = 15 mm × 5 mm × 7 mm = 525 mm³

The volume of the prism, V = V₁ + V₂

Therefore, we have;

V =135 mm³ + 525 mm³ = 660 mm³

The volume of the prism, V = 660 mm³

b) The surface area of the prism is given as follows;

The surface area of the top cuboid, SA₁, is given as follows;

SA₁ = 9 mm × 5 mm + 2 × 3 mm × 9 mm + 2 × 3 mm × 5 mm = 129 mm²

The surface area of the larger cuboid, SA₂, is given as follows;

SA₂ = 2 × 15 mm × 7 mm + 2 × 5 mm × 7 mm + 2 × 3 mm × 5 mm + 15 mm × 5 mm = 385 mm²

The surface area of the prism, SA = SA₁ + SA₂

∴ The surface area of the prism, SA = 129 mm² + 385 mm² = 514 mm²

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3 years ago
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5 0
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Manuel rented a truck for one day. There was a base fee of $15.99, and there was an additional charge of 92 cents for each mile
inysia [295]

Answer:

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Step-by-step explanation:

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