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Triss [41]
2 years ago
12

SIMPLIFY 81 TO THE 1/3 POWER

Mathematics
2 answers:
Ne4ueva [31]2 years ago
3 0
81^1/3. We know that 81 is 3^4, meaning 3 x 3 x 3 x 3 is 81. So (3^4)^1/3 is 3^4/3, which is 3 * (cubed root of 3).
solniwko [45]2 years ago
3 0
Okay lets see 81^1/3 means that you are multiplying by a third. but you can also turn it into a division problem as simple as putting 81 in the place of the 1. Now the problem looks like this: 81/3. so if you divide 81 by 3 you get 27. check the ,mat by doing it backwards. multiply 27 by 3 and see what you get. it should be 81.
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Firdavs [7]

Answer:

890 beads can be fitted in the triangular prism.

Step-by-step explanation:

If we can fill the spherical beads completely in the triangular prism,

Volume of the triangular prism = Volume of the spherical beads

Volume of triangular prism = Area of the triangular base × Height

From the picture attached,

Area of the triangular base = \frac{1}{2}(\text{Base})(\text{Height})

                                             = \frac{1}{2}(AB)(BC)

By applying Pythagoras theorem in the given triangle,

AC² = AB² + BC²

(13)² = 5² + BC²

169 = 25 + BC²

BC² = 144

BC = 12

Area of the triangular base = \frac{1}{2}(5)(12)

                                             = 30 cm²

Height of the triangular prism = 18 cm

Volume of the triangular prism = 30 × 18

                                                   = 540 cm³

Volume of one spherical bead = \frac{4}{3}\pi r^{3}

                                                   = \frac{4}{3}\pi (0.525)^{3}

                                                   = 0.606 cm³

Let there are 'n' beads in the triangular prism,

Volume of 'n' beads = Volume of the prism

540 = 0.606n

n = 890.90

n ≈ 890

Therefore, 890 beads can be fitted in the triangular prism.

3 0
2 years ago
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