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andrezito [222]
3 years ago
13

Six items purchased at a grocery store weigh 11 kilograms one of the items is detergent weighing 556 grams what is the total wei

ght in kilograms of the other five items
Mathematics
1 answer:
slavikrds [6]3 years ago
7 0

556 \: g \times  \frac{1 \: kg}{1000g} = 0.556 \: kg

11 \: kg - 0.556 \: kg = 10.444 \: kg

The total weight of the other five items are 10.444 kg

<em>(round as you wish)</em>

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Answer:

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2.  A = 6 inches²

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4.  A = 10 inches²

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Step-by-step explanation:

1. Label the dimensions of the prism:

Left side = 3 inches

Bottom side = 4 inches

Right side = 2 inches

Top side = 5 inches

2. Area of the red rectangle:

Formula:

LH = A (Length x Height = Area)

A = 3 x 2

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3. Area of the blue rectangle:

Formula:

LH = A (Length x Height = Area)

A = 4 x 2

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4. Area of the green rectangle:

Formula:

LH = A (Length x Height = Area)

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5. (They gave the formula of the two triangles, but the question said green rectangle?  They must've meant yellow triangles)

Area of the yellow triangles:

Formula:

2 (1/2 Bh) (2 (half of base x height))

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A = 2(6)

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Formula:

LH + LH + LH + 2 (1/2 Bh) = Surface Area of the triangular prism (Area of the red rectangle + Area of the blue rectangle + Area of the green rectangle + Area of the yellow triangles = Total surface area of the triangular prism)

A = 6 inches² + 8 inches² + 10 inches² + 12 inches²

A = 36 inches²

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Left side = 5 cm

Bottom side = 12 cm

Right side = 4 cm

Top side = 13 cm

8. Total surface area of the triangular prism:

First, we can find the area of each shape, as we had previously to find the total area of the net and the surface area of the triangular prism.

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Formula:

LH = A (Length x Height = Area)

A = 5 x 4

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Area of the blue rectangle:

Formula:

LH = A (Length x Height = Area)

A = 12 x 4

A = 48 cm²

Area of the green rectangle:

Formula:

LH = A (Length x Height = Area)

A = 13 x 4

A = 52 cm²

Area of the yellow triangles:

Formula:

2 (1/2 Bh) (2 (half of base x height))

A = 2(1/2 5 x 12)

A = 2(1/2 60)

A = 2(30)

A = 60 cm²

Total surface area of the triangular prism:

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