Mathematics, 11.04.2020 19:25 nefertiri64

A rectangular prism is 8 cm long, 4 cm wide and 4 cm tall how many 2 times 2 times 2 can the prism be cut into. What is the total surface area of all the 2 times 2 times 2 cubes. What is the total volume of all the 2 times 2 times 2 cm cubes

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Answer from: mathbrain58

The number of cubes is which can the rectangular prism be cut into is 16.

Therefore total surface area of the all cubes is 384 cm².

The volume of all cubes is 128 cubic cm.

Step-by-step explanation:

Given that,

a rectangular prism is 8 cm long, 4 cm wide and 4 cm tall.

The dimensions of a cube is 2 cm × 2 cm × 2 cm.

Since the cubes cuts out from the rectangular prism.

So the volume of the rectangular prism= the volume of the cubes.

Let the number of cubes which cut out from the rectangular prism be x.

The volume of the rectangular prism is = (8×4×4) cubic cm

The volume of x cubes is =x (2×2×2)cubic cm

According to the problem,

x (2×2×2)=8×4×4

$\Rightarrow x=\frac{8\times 4\times 4}{2\times2\times2}$

$\Rightarrow x=16$

The number of cubes is which can the rectangular prism be cut into is 16.

The surface area of a cube is = 6× side²

Each sides of the cube are 2 cm.

The surface area of 16 cubes is =( 16×6×2²) cm²

=384 cm²

Therefore total surface area of the all cubes is 384 cm².

Since the volume of the rectangular prism= the volume of the cubes.

The volume of the rectangular prism is = (8×4×4) cubic cm

=128 cubic cm

The volume of all cubes is 128 cubic cm.

Answer from: Quest

in the math equation 8 x 7 = 56, the 8 and the 7 are both factors of 56, since in this lesson we will use square tiles to figure out the factors of a whole find as many different arrays as you can, but follow one important rule: all the rows must have the i can make two rows of nine, so 2 and 9 are both factors of 18.

step-by-step explanation:

Answer from: Quest

step-by-step explanation:

one of the most important purposes of surface treatment is to alter surface properties according to the requirement of specific applications. for example, hydrophobic coating has been utilized on windshield and eyeglasses. gold atom monolayer on substrate has become a popular surface bioconjugation strategy.

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