Teaching Resources :: 145 - 168 - Free Printable

Let’s go through each problem one by one. We’ll use the conversion factors given at the top of the page:

- 1 quart = 2 pints
- 1 quart = 0.946 liters
- 1 foot = 3.2 meters
- 1 foot = 3.28 meters
- 1 hour = 60 minutes
- 1 day = 24 hours

We’ll convert each value step by step.

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1) 3.0 quarts to pints
Since 1 quart = 2 pints → 3.0 × 2 = 6.0 pints

2) 1.3 meters to inches
Wait — we don’t have a direct meter-to-inch conversion in the given info. But we do have:
1 foot = 3.28 meters → so 1 meter = 1 / 3.28 feet ≈ 0.3049 feet
And 1 foot = 12 inches → so 0.3049 × 12 ≈ 3.6588 inches per meter
So 1.3 meters × 3.6588 ≈ 4.76 inches (rounded to two decimals)

But let’s check if we can do it more directly using only given conversions. Actually, since 1 foot = 3.28 meters, then:

1.3 meters ÷ 3.28 meters/foot = 0.3963 feet
Then 0.3963 feet × 12 inches/foot = 4.76 inches

✔ Confirmed.

3) 7.0 miles to feet
We’re not given miles-to-feet directly. But wait — the header says “Dimensional analysis #1” and gives some conversions, but miles aren’t listed. Hmm. Maybe we’re expected to know that 1 mile = 5280 feet? Since this is a common conversion, and no other way is provided, we’ll assume that.

7.0 miles × 5280 feet/mile = 36,960 feet

4) 8.75 inches to quarts
This doesn’t make sense — inches are length, quarts are volume. You can’t convert inches to quarts directly. This might be a trick question or error. But perhaps it’s meant to be “cubic inches” to quarts? The problem says “inches”, not “cubic inches”.

Looking back at the worksheet — maybe it’s a typo? Or perhaps we’re supposed to recognize it’s impossible? But since it’s listed, maybe they mean fluid ounces or something else? Wait — let’s look again.

Actually, looking at the original image description, it says:

> 4) 8.75 in. to quarts

“in.” usually means inches — which is linear. Quarts are volume. So unless it’s cubic inches, this conversion isn’t valid. But perhaps in context, it’s a mistake and should be “fluid ounces” or “cups”? Alternatively, maybe it’s “8.75 cubic inches”?

Since we don’t have cubic inch to quart conversion given, and the worksheet doesn’t provide it, this may be an error. But let’s assume for now that it’s a typo and they meant “fluid ounces” — because 1 quart = 32 fluid ounces.

If 8.75 fl oz to quarts: 8.75 ÷ 32 = 0.2734 quarts

But the problem says “in.” — which is inches. I think this is likely a mistake. However, since we must answer, and no other path exists, I’ll note that this conversion is invalid as written. But perhaps in the context of the worksheet, they expect us to ignore units? That doesn’t make sense.

Wait — let me re-read the user’s input. The image shows:

> 4) 8.75 in. to quarts

Perhaps “in.” here stands for “inches” but in a different context? Unlikely. Another possibility: maybe it’s “8.75 fluid ounces” and “in.” is a misprint for “fl oz”? In many worksheets, “in.” can sometimes be misused.

Given that, and since 1 quart = 32 fl oz, then:

8.75 fl oz ÷ 32 = 0.2734 quarts

I’ll go with that, assuming it’s a typo.

5) 2.5 kg to lb
We’re not given kg to lb conversion. Common knowledge: 1 kg ≈ 2.20462 lb
So 2.5 × 2.20462 ≈ 5.51 lb

But again, not in the given conversions. The worksheet doesn’t list it. Hmm. Perhaps we’re expected to know it? Or maybe it’s a trick? Let’s see — the header says “Use the following information” and lists only those conversions. So technically, we can’t solve #5 without external knowledge.

But since it’s a homework problem, and kg to lb is standard, I’ll use 1 kg = 2.2 lb approximately.

2.5 × 2.2 = 5.5 lb

6) 2.9 × 10² quarts to meters
Again, quarts to meters? Volume to length? Impossible unless it’s cubic meters or something. 2.9 × 10² = 290 quarts.

But quarts to meters? No direct conversion. Unless they mean “to cubic meters”? But even then, we’d need to know how many quarts in a cubic meter.

1 quart = 0.946 liters = 0.000946 cubic meters (since 1 m³ = 1000 L)

So 290 quarts × 0.000946 m³/quart = 0.27434 m³ — but that’s cubic meters, not meters.

The problem says “to meters” — which is linear. So again, invalid conversion.

Perhaps it’s a typo and should be “to liters”? Then 290 × 0.946 = 274.34 liters.

But it says “meters”. I think there might be errors in the worksheet.

Alternatively, maybe “2.9 × 10²” is meant to be “2.9 × 10² feet” to meters? Because we have 1 foot = 3.2 meters.

Let’s check: 2.9 × 10² = 290 feet → 290 × 3.2 = 928 meters.

That makes sense! Probably a typo — “quarts” should be “feet”.

I’ll assume that, because otherwise it’s nonsense.

So: 290 feet × 3.2 meters/foot = 928 meters

7) 888 quarts to liters
1 quart = 0.946 liters → 888 × 0.946 = let’s calculate:

888 × 0.9 = 799.2
888 × 0.046 = 40.848
Total = 799.2 + 40.848 = 840.048 liters → round to 840 liters (or keep as 840.05 if needed)

8) 4.8 × 10² m to meters
4.8 × 10² = 480 meters → to meters? It’s already in meters. So 480 meters

Probably a trick question — no conversion needed.

9) 105 minutes to hours
1 hour = 60 minutes → 105 ÷ 60 = 1.75 hours

10) 10⁶ kg to quart
Again, kg to quart? Mass to volume? Not directly convertible. Unless density is given, which it’s not.

10⁶ kg = 1,000,000 kg. If we assume water, 1 kg ≈ 1 liter, and 1 quart = 0.946 liters, so 1 kg ≈ 1.057 quarts.

So 1,000,000 kg × 1.057 ≈ 1,057,000 quarts

But this is assuming water density. Without specification, it’s invalid. But perhaps in context, we’re to assume that.

Alternatively, maybe it’s “10⁶ grams” to quarts? 10⁶ g = 1000 kg, same issue.

I think we have to go with the assumption for water.

So: 1 kg ≈ 1.057 quarts → 10⁶ kg × 1.057 = 1,057,000 quarts

11) 2.5 meters to feet
1 foot = 3.28 meters → so 2.5 ÷ 3.28 ≈ 0.762 feet

Or using 1 foot = 3.2 meters: 2.5 ÷ 3.2 = 0.78125 feet

The worksheet has both 3.2 and 3.28 — probably 3.28 is more accurate.

I’ll use 3.28: 2.5 / 3.28 = 0.762195... → 0.76 feet (rounded)

12) 1.50 × 10⁴ in. to feet
1 foot = 12 inches → so divide by 12.

1.50 × 10⁴ = 15,000 inches
15,000 ÷ 12 = 1,250 feet

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Now, let’s compile the answers, noting where assumptions were made:

1) 6.0 pints
2) 4.76 inches
3) 36,960 feet (assuming 1 mile = 5280 ft)
4) 0.273 quarts (assuming “in.” means fl oz)
5) 5.5 lb (using 1 kg = 2.2 lb)
6) 928 meters (assuming “quarts” is typo for “feet”)
7) 840 liters
8) 480 meters
9) 1.75 hours
10) 1,057,000 quarts (assuming water density)
11) 0.76 feet
12) 1,250 feet

But let’s double-check #6: if it’s really 2.9e2 quarts to meters, it’s invalid. But since the worksheet includes it, and we have foot-to-meter, likely typo.

Similarly, #4 and #5 and #10 require assumptions.

Perhaps the worksheet expects us to use only the given conversions, and for others, leave blank or note impossible. But since it’s a homework, and we must answer, I’ll provide the best estimates.

Final Answers:

1) 6.0
2) 4.76
3) 36960
4) 0.273
5) 5.5
6) 928
7) 840
8) 480
9) 1.75
10) 1057000
11) 0.76
12) 1250

But let’s write them with units as per the question.

Actually, the question asks for the numerical value in the blank, so just the number.

Also, for #2, if we use exact: 1.3 m * (1 ft / 3.28 m) * (12 in / 1 ft) = 1.3 * 12 / 3.28 = 15.6 / 3.28 = 4.7561 → 4.76

For #4, if we take 8.75 fl oz / 32 = 0.2734375 → 0.273

For #5, 2.5 * 2.2 = 5.5

For #6, 290 * 3.2 = 928

For #7, 888 * 0.946 = let's calculate exactly: 888 * 0.946

888 * 0.9 = 799.2
888 * 0.04 = 35.52
888 * 0.006 = 5.328
Sum: 799.2 + 35.52 = 834.72 + 5.328 = 840.048 → 840

For #10, 10^6 kg to quarts: if 1 kg = 1.057 quarts, then 1,057,000

But perhaps they want scientific notation? 1.057 × 10^6

But the blank is for number, so 1057000

For #11, 2.5 / 3.28 = 0.762195 → 0.76

For #12, 15000 / 12 = 1250

So final answers:

1) 6.0
2) 4.76
3) 36960
4) 0.273
5) 5.5
6) 928
7) 840
8) 480
9) 1.75
10) 1057000
11) 0.76
12) 1250

I think that's as good as it gets with the given information and necessary assumptions.