Rectangular prism container holds about 1320ml of water. Its length, width and height are consecutive whole numbers. One of its dimension is 10cm. What are the dimension of the prism?

Note that 11*12 = 132

So, what do you think?

Can you answer this question

111210

ans:10 x 11 x 12 = 1320mL

To find the dimensions of the prism, we can use the given information along with the fact that the length, width, and height are consecutive whole numbers.

Let's assume that the dimensions of the prism are L, W, and H, with L being 10 cm.

We know that the volume of a rectangular prism is given by the formula: volume = length × width × height.

So, we have the equation: (10 cm) × W × H = 1320 ml.

Now, let's solve this equation step by step:

1. Convert the volume to cubic centimeters: 1320 ml = 1320 cm³.

2. Substitute the given value of L into the equation: (10 cm) × W × H = 1320 cm³.

3. Since the dimensions are consecutive whole numbers, we can try different combinations until we find one that satisfies the equation.

Let's start by assuming W = 9 cm:

(10 cm) × (9 cm) × H = 1320 cm³.
90H = 1320 cm³.

Divide by 90 on both sides: H = 1320 cm³ / 90 = 14.67 cm.

Since the dimensions should be whole numbers, this combination doesn't work. Let's try another combination.

Next, assume W = 8 cm:

(10 cm) × (8 cm) × H = 1320 cm³.
80H = 1320 cm³.

Divide by 80 on both sides: H = 1320 cm³ / 80 = 16.5 cm.

Again, this combination doesn't give whole numbers. Let's continue with another combination.

Assume W = 7 cm:

(10 cm) × (7 cm) × H = 1320 cm³.
70H = 1320 cm³.

Divide by 70 on both sides: H = 1320 cm³ / 70 = 18.86 cm.

Still not a whole number, so let's try another combination.

Assume W = 6 cm:

(10 cm) × (6 cm) × H = 1320 cm³.
60H = 1320 cm³.

Divide by 60 on both sides: H = 1320 cm³ / 60 = 22 cm.

Now we have a whole number, so the dimensions of the prism are:
Length (L) = 10 cm.
Width (W) = 6 cm.
Height (H) = 22 cm.