The volumes of the <em>right</em> prisms are listed below:
- 1 / 9 ft³
- 39 / 512 in³
- 7 / 384 cm³
- 1 / 12 cm³
- 3 / 25 m³
- 3 / 8 yd³
<h3>What is the volume of the prisms?</h3>
In this problem we have six cases of <em>right</em> prisms with <em>rectangular</em> bases, the volume of <em>right</em> prisms (V), in cubic length units, is equal to the product of the area of the base (A), in square length units, and the height (h), in length units. The equation of the volume of the right prism is shown below:
V = w · l · h (1)
Where:
- w - Width of the base, in length units.
- l - Length of the base, in length units.
- h - Height of the prism, in length units.
Now we proceed to calculate each volume:
Prism 1 (w = 2 / 3 ft, l = 1 / 3 ft, h = 1 / 2 ft)
V = (2 / 3 ft) · (1 / 3 ft) · (1 / 2 ft)
V = 1 / 9 ft³
Prism 2 (w = 1 / 8 in, l = 3 / 4 in, h = 13 / 16 in)
V = (1 / 8 in) · (3 / 4 in) · (13 / 16 in)
V = 39 / 512 in ³
Prism 3 (w = 7 / 8 cm, l = 1 / 4 cm, h = 1 / 12 cm)
V = (7 / 8 cm) · (1 / 4 cm) · (1 / 12 cm)
V = 7 / 384 cm³
Prism 4 (w = 1 / 7 cm, l = 7 / 8 cm, h = 2 / 3 cm)
V = (1 / 7 cm) · (7 / 8 cm) · (2 / 3 cm)
V = 1 / 12 cm³
Prism 5 (w = 9 / 10 m, l = 2 / 3 m, h = 1 / 5 m)
V = (9 / 10 m) · (2 / 3 m) · (1 / 5 m)
V = 3 / 25 m³
Prism 6 (w = 7 / 8 yd, l = 6 / 7 yd, h = 1 / 2 yd)
V = (7 / 8 yd) · (6 / 7 yd) · (1 / 2 yd)
V = 3 / 8 yd³
To learn more on prisms: brainly.com/question/12649592
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